Moderate prematurity refers to babies who are born between 28 and 32 completed weeks gestational age with a birth weight range between 1500 and 2500 grams. The length of time a baby has spent in the womb, or more specifically the number of completed weeks of frequency, is called gestational age. Based on their gestational age and their weight, premature babies are placed into categories of mild, moderate and extreme prematurity.

• Mild Prematurity refers to babies who are between 33 and 36 completed weeks of gestation and /or have a birth weight between 1500 and 2500 grams.

• Moderate Prematurity refers to babies who are born between 28 and 32 completed weeks of gestation with a birth weight range between 100 and 1500 grams.

• Extreme Prematurity refers to babies who are born before 28 completed weeks of gestation or a birth weight less than 1000 grams.
The birth weight of a baby is approximately normally distributed with an average of 3.4 kg and a standard deviation of 800 grams. i. Calculate the probability of having a birth with moderate prematurity.

ii. What is the probability of having birth with extreme prematurity?

iii. What is the probability of having a baby weighing at least 6 kg? Do you think it is highly unlikely to have a baby with this weight? explain?

iv. A randomly selected baby will weigh more than x kg to be one of the top 5% in weight. What is the value of x? v. Above what weight do 87.7% of the weights occur?

vi. Suppose on another planet the baby (may not be human) birth weight X follow the normal distribution. The probability that X exceeds 4 kg is 0.975 and the probability that x exceeds 5 kg is 0.95. Find µ and σ.

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A fair coin is tossed 7 times. Compute the probability of tossing 7 tails in a row.
1128​  
Enter your response as a reduced fraction.

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A CEO of Awesome Coolers owns 4 pairs of pants, 13 shirts, 8 ties and 3 jackets. How many different outfits can he wear to the office if he must wear one of each item?

The CEO has  different outfits.

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In a large population, 65 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Give your answer as a decimal (to at least 3 places) or fraction.   

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Given the probability of an event is 110110, what are the odds against that event?

:

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A student's grades and weights are given below. Calculate the final grade by calculating a weighted average.

Calculate the student's final grade:  %

Round your answer to one decimal place.

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A person must pay $$4 to play a certain game at the casino. Each player has a probability of 0.01 of winning $$16, for a net gain of $$12 (the net gain is the amount won 16 minus the cost of playing 4).

Each player has a probability of 0.99 of losing the game, for a net loss of $$4 (the net loss is simply the cost of playing since nothing else is lost).

What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.

Expected Value = $

If a person plays this game a very large number of times over the years, do we expect him/her to come out financially ahead or behind?

• behind
• ahead

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A 10-sided fair die, a 4-sided fair die, and a 6-sided fair die are rolled. What is the probability of all three happening:

• Showing 3 on the first die
• Showing either 3 or 4 on the second die
• Showing an odd number on the third die

Probability =   
(Enter your answer as a reduced fraction.)

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A store gathers some demographic information from their customers. The following chart summarizes the age-related information they collected:

One customer is chosen at random for a prize giveaway.

What is the probability that the customer is at least 30 but no older than 50?   

What is the probability that the customer is either older than 60 or younger than 40?   

What is the probability that the customer is at least 60?   

Enter your answers as either decimals or fractions, not as percents.

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Frank earned the following grades last quarter. Calculate his GPA rounded to two decimals.

GPA:

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The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year, and the color of their car.

If one person is randomly selected from the group, what is the probability that this person drives a red car or did not get a speeding ticket?

Probability =   

(Enter your answer as a reduced fraction.)

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A company has 4 mechanics and 9 electricians. If an employee is selected at random, what is the probability that they are an electrician?

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Eleven bands are to perform at a weekend festival. How many different ways are there to schedule their appearances?

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Based on historical data, an insurance company estimates that a particular customer has a 2.4% likelihood of having an accident in the next year, with the average insurance payout being $2300.

If the company charges this customer an annual premium of $150, what is the company's expected value of this insurance policy?

$  

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Evaluate the following.

23C723C7 =

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A jury pool consists of 34 people, 16 men and 18 women. Compute the probability that a randomly selected jury of 12 people is all male.

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A bag of M&M's has 8 red, 5 green, 2 blue, and 4 yellow M&M's. What is the probability of randomly picking:

(give answer as a reduced fraction)

1) a yellow?

  

2) a blue or green?

  

3) an orange?

  

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A race consists of 12 women and 11 men. Find the following probabilities for the top three finishers:

P(all men) =   

P(all women) =   

P(2 men and 1 woman) =   

P(1 man and 2 women) =   

Round all answers to four decimal places.

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A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.
(a) The card drawn is 5
The probability is :   

(b) The card drawn is a face card (Jack, Queen, or King)
The probability is :   

(c) The card drawn is not a face card.
The probability is :   

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Suppose a jar contains 10 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

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Michael buys a bag of cookies that contains 5 chocolate chip cookies, 5 peanut butter cookies, 5 sugar cookies and 9 oatmeal cookies. What is the probability that Michael randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you answer as a reduced fraction.

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Eight sprinters have made it to the Olympic finals in the 100-meter race. Suppose you want to determine how many different ways the gold, silver, and bronze medals can be awarded. Would you use a combination or a permtuation?

• Combination
• Permutation

1. A nursing audit was carried out for four populations of patients in a large community hospital. The total audit score for each patient reflects nursing performance for several basic areas (application of nursing procedures and promotion of total health, for example). The table below presents the total audit scores for five randomly selected patients on within each of the audited populations within the given hospital.

   Medical	Surgical	Pediatrics	Ob-Gyn
   75	75	70	50
   65	80	70	65
   50	85	60	70
   60	70	75	70
   70	90	80	75

   The sample means: 64    80 71    66

   Sample st deviations:         9.62 7.91 7.42    9.62

   Perform analysis of variance on this data. The F-statistic for the ANOVA test, rounded to three decimal places, is

1 points   

QUESTION 8

1. The P-value for the ANOVA test in number 7 is

   	A.	between 0.05 and 0.10.
   	B.	greater than 0.10.
   	C.	less than 0.01.
   	D.	less than 0.05.

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QUESTION 9

1. Which one of the statements below is the best conclusion for your test in number 7?

   	A.	The test shows that the differences in the mean scores are statistically significant but in looking at the descriptive summaries (sample means) we see that the differences are not practically significant.
   	B.	The test shows that the differences in mean scores are not statistically significant.
   	C.	The test allows us to conclude that the mean scores are not all the same, and descriptive summaries of the data (sample means) suggest the mean score for surgical nursing performance is highest.
   	D.	The test allows us to conclude that the mean scores are not all the same, but the mean scores for medical and Ob-Gyn patients are the same.

1 points   

QUESTION 10

1. The ANOVA test of the data in #7 is better than comparing the four populations of scores in six different two-sample tests (comparing all possible pairs) because

   	A.	the conclusions from the six two-sample procedures might not agree.
   	B.	the two-sample tests can be one-sided or two sided and we don't know which alternatives are best.
   	C.	we can control the probability of making a type I error with a single ANOVA test but not with six separate tests, each of which could result in a Type I error.
   	D.	the conditions for two-sample procedures might not be met for all 6 pairs of scores.

Using C++. Implement l_list.cpp and l_list.h

l_list and encounterNode. The former is a richly featured linked list with a wide variety of methods and the latter is a node meant to encapsulate a game encounter. In the context of this task, the encounterNode represents a battle encounter. Each encounter will describe what a player has to watch in the course of the level in terms of enemies, rewards and such. Therefore a combination of encounterNodes contained within a linked list would represent a single level in a game. The classes and behaviors of their methods are detailed below:

l_list
-head: encounterNode*
---------------------------
+l_list()
+~l_list()
+addToFront(a:string*, b:int, c:string):int
+addToBack(a:string*, b:int, c:string):int
+addAtIndex(a:string*, b:int, c:string, index:int):int
+getListSize():int
+removeFromFront():encounterNode*
+removeFromBack():encounterNode*
+removeFromIndex(index:int):encounterNode*
+printSummaryOfList():void
+printList():void

The class has the following variables:
•head: The head pointer which demarcates the start of the list.

The class has the following methods:
•l_list: The list constructor. It will start by initialising a blank list with no elements.

•∼l_list: The list destructor. It should delete all of the remaining nodes in the list and deallocate all of the memory contained within. After deleting the list, it should print out the following message: ”Number of nodes deleted: X” without quotation marks where X indicates the number of nodes deleted in the process. Be sure to add a newline at the end of this output.

•addToFront: This method receives the variables to construct a new node and then allocates memory for it before adding it to the list at the front. It returns the new size of the list, that is the size of the list with the added node.

•addToBack: This method receives the variables to construct a new node and then allocates memory for it before adding it to the list at the back of the list. It returns the new size of the list, that is the size of the list with the added node.

•addAtIndex: This method receives the variables required to instantiate a new node as well as an index. This method should insert this node into the list at the given index. If the given index is not contained within the list, such as inserting at 5 when the list is only 2 nodes big, instead you must add it to the front. Note that the list is 0-indexed. It returns the new size of the list, that is the size of the list with the added node.

•getListSize: This method determines the number of nodes in the list and returns this as an integer.

•removeFromFront: This remove method removes a node from the list from the front and returns it. Note that the node is returned and not deleted; it must be properly unlinked from the list without being destroyed. If the list is empty, return NULL.

•removeFromBack: This remove method removes a node from the list from the back and returns it. Note that the node is returned and not deleted; it must be properly unlinked from the list without being destroyed. If the list is empty, return NULL.

•removeFromIndex: This method receives an index of a node to remove from the list. This node must be removed and returned without being destroyed; that is, unlinked from the list without being deleted. Note that if the index is not valid or the list is empty then the method should return NULL. The list is 0-indexed.

•printList: This method prints out the entire list, starting from the front. If the list is empty, print ”EMPTY LIST” without the quotation marks and a newline at the end. The example output is given below:
       Node 0
       Number of Enemies: 2
       Reward: Boots of Healing
       Enemy 1: Imp
       Enemy 2: Imp
       Node 1
       Number of Enemies: 2
       Reward: Sword of Revealing Light
       Enemy 1: Mancubus
       Enemy 2: Hell Knight

•printSummaryOfList: This method is a more sophisticated type of print. Instead of merely printing out of the full information of the list, it aggregates and collates the information from the list into a more easily readable report. If the list is empty,
print ”EMPTY LIST” without the quotation marks and a newline at the end. The report determines the following pieces of information:
       1.The number of nodes in the list.
       2.The number of enemies, in total in the list.
       3.The number of rewards which are healing to the player, that is if the reward has Healing or Health in its name. You can assume that the case will match the specific form of Healing or Health.
Therefore the output of this print operation takes the form (considering the prior example as the list):

       Number of Nodes: 2
       Number of Enemies: 4
       Number of Healing Rewards: 1

You are only allowed the use of the following libraries: string and iostream.

===================encounterNode.h=====================

#ifndef ENCOUNTER_NODE_H
#define ENCOUNTER_NODE_H
#include<iostream>
#include<string>
using namespace std;

class encounterNode
{
   private:
       string* enemies;
       int numEnemies;
       string reward;
   public:
       encounterNode* next;
       encounterNode(string* list, int numE, string re);
       ~encounterNode();
       string* getEnemies() const;
       void setEnemies(string* a, int b);
       string getEnemyAtIndex(int a);
       void setEnemyAtIndex(int a, string b);
       string getReward() const;
       void setReward(string a);
       int getNumEnemies() const;
       void setNumEnemies(int a);
       void print();
};
#endif

===================encounterNode.cpp=====================

#include "encounterNode.h"
#include<iostream>
#include<string>
using namespace std;

encounterNode::encounterNode(string* list, int numE, string re)
{
   enemies = list;
   numEnemies = numE;
   reward = re;
}

encounterNode::~encounterNode()
{
   delete [] enemies;
}

string* encounterNode::getEnemies() const
{
   return enemies;
}

void encounterNode::setEnemies(string* a, int b)
{
   if (enemies != NULL)
       delete[]enemies;

   enemies = new string[b];
   for (int i = 0; i < b; i++)
       enemies[i] = a[i];

   numEnemies = b;
}

string encounterNode::getEnemyAtIndex(int a)
{
   if (a >= 0 && a < numEnemies)
       return enemies[a];
   else
       return "";
}

void encounterNode::setEnemyAtIndex(int a, string b)
{
   if (a >= 0 && a < numEnemies)
       enemies[a] = b;
}

string encounterNode::getReward() const
{
   return reward;
}

void encounterNode::setReward(string a)
{
   reward = a;
}

int encounterNode::getNumEnemies() const
{
   return numEnemies;
}

void encounterNode::setNumEnemies(int a)
{
   numEnemies = a;
}

void encounterNode::print()
{
   cout << "Number of Enemies: " << numEnemies << endl;
   cout << "Reward: " << reward << endl;
   for (int i = 0; i < numEnemies; i++)
   {
       cout << "Enemy " << (i + 1) << ": " << enemies[i] << endl;
   }
   cout << endl;
}

you are asked to compare the price of energy in the form of gas or electricity. Please follow the following steps: Get latest copies of your electric and gas bill. If you don’t pay for it, or if you are using all electric appliances, get copies from a friend or family. What is the price you pay for electricity in kWh? Ignore all taxes and other supplemental fees. What is the price you pay for gas in therms? per cubic foot? One therm is 100,000 Btus. Calculate costs of $ per million Btu for both electricity and gas. Which one is more expensive? Why? From the energy efficiency point of view, which appliances make sense to operate with electricity? With gas? Assume that all your energy needs come from electricity. How much more (or less) would you have to pay? Which of the energy forms (electricity from fossil fuels, gas, or solar electricity) are most appropriate (energy efficient) to Operate a radio Run an air conditioner Use for home water heating Use for cooking oven Operate an elevator Weld

1) projectile blitz:
a) given an initial velocity (Vx0,Vy0) off a cliff of height H, what
is the final velocity? What is the horizontal distance
traveled? How much time is the projectile in the air for?

b) given a launch angle theta for the same case of launching off a
cliff of height H, and given a horizontal distance d to a target that
the projectile is supposed to hit, what speed should the projectile be
launched at?

2) Liz May is travelling South with speed Vm.  Jagmeet Singh is travelling
west with speed Vs. At time 0, May is a distance Ym North of a
political intersection, and Singh is Xs to the east of the
intersection. Find the distance of closest approach.

3) A person of mass m is on a massless weight scale in an elevator of
mass M being pulled up by a cable with tension T. The tension is large
enough to cause positive vertical acceleration. What weight does the
scale read?

4) What banking angle for a circular race track of radius R would
be optimal for race cars going speed V?

BUSD 1013 – Introduction to Management – Assignment Template

Name:

Student ID: Note: see assignment description in Moodle – sections 9,10 should be a maximum of 2 pages Section 9: Operations plan Reference course materials – Key Items to Consider How will I ensure we have efficient operations to maximize our resources and keep costs competitive? How will I ensure customers find it easy to do business with my company (from learning about us, booking orders, scheduling, using our services and payments). How can I save customers and our company time? What technology will be required to ensure we are efficient? How can I ensure we offer a consistent quality of service, how might I measure this? Section 10 – Elevator Pitch Imagine that you have one minute to convince a potential investor to help fund your venture and invest in your business. What would you say in that one minute? Include both in-text and full references at the end as applicable.

Write a checkbook balancing program. The program will read in, from the console, the following for all checks that were not cashed as of the last time you balanced your checkbook: the number of each check (int), the amount of the check (double), and whether or not it has been cashed (1 or 0, boolean in the array). Use an array with the class as the type. The class should be a class for a check. There should be three member variables to record the check number, the check amount, and whether or not the check was cashed. So, you will have a class used within a class. The class for a check should have accessor and mutator functions as
well as constructors and functions for both input and output of a check. In addition to the checks, the program also reads all the deposits (from the console; cin), the old and the new account balance (read this in from the user at the console; cin). You may want another array to hold the deposits. The new account balance should be the old balance plus all deposits, minus all checks that have been cashed.

The program outputs the total of the checks cashed, the total of the deposits, what the new balance should be, and how much this figure differs from what the bank says the new balance is. It also outputs two lists of checks: the checks cashed since the last time you balanced your checkbook and the checks still not cashed. [ edit: if you can, Display both lists of checks in sorted order from lowest to highest check number.]

--A software company uniformly randomly generates 14-character encryption keys from 26 letters and 10 digits. Repeated characters are allowed, and the order of the characters matters.

(a) How many different keys can be generated, if there are no restrictions at all on the keys?

(b) What is the probability that a key consists of only letters?

(c) What is the probability that a key starts and ends with a digit?

(d) If the digits are removed from the 14-character key and all spaces are removed, what is the probability that the resulting string of letters is AQRRFHMK?

(e) What is the probability that exactly 4 of the 14 characters are letters?

(f) What is the probability that all of the characters are different?

(g) What is the probability that there are at least two F’s?

--the Binomial Theorem

(a) What is the coefficient of x5y9 in (x + 2y)14?

(b) What is the coefficient of x8 in (3x ? 4)17?

-- For a group of k people, let Ak be the event “no two people have the same birthday norbirthdays one day apart”. As usual, ignore leap years, and assume all birthdays are equally likely. Also note that Dec 31 and Jan 1 are considered one day apart.

For each k, Find a lower bound on P(Ak); that is, find a number ak ? (0,1) such that P(Ak) ? ak, and explain your reasoning.

-- For a poker hand with k cards, a flush means all cards have the same suit, and a straightmeans all cards are in sequence according to rank, and a straight flush means both at the same time. A straight may start with an ace, A-2-3-4(-5), or may end with an ace, (10)-J-Q-K-A, but you can’t have a “wraparound” straight, e.g. Q-K-A-2-3 is not considered a straight.

For the two cases k = 4 and k = 5, for a hand with k cards, find the probabilities of a hand dealt uniformly at random having (a) a straight flush, (b) a (non-straight) flush, and (c) a (non-flush) straight, and for each value of k, rank these three hands in order of probability. For four-card poker (the case k = 4), which hand should be considered “stronger” – a flush or a straight?

A European growth mutual fund specializes in stocks from the British Isles, continental Europe, and Scandinavia. The fund has over 125 stocks. Let x be a random variable that represents the monthly percentage return for this fund. Suppose x has mean ? = 1.2% and standard deviation ? = 1.4%.

(a) Let's consider the monthly return of the stocks in the fund to be a sample from the population of monthly returns of all European stocks. Is it reasonable to assume that x (the average monthly return on the 125 stocks in the fund) has a distribution that is approximately normal? Explain.

---Select--- Yes No , x is a mean of a sample of n = 125 stocks. By the  ---Select--- law of large numbers theory of normality central limit theorem , the x distribution  ---Select--- is is not approximately normal.

(b) After 9 months, what is the probability that the average monthly percentage return x will be between 1% and 2%? (Round your answer to four decimal places.)


(c) After 18 months, what is the probability that the average monthly percentage return x will be between 1% and 2%? (Round your answer to four decimal places.)


(d) Compare your answers to parts (b) and (c). Did the probability increase as n (number of months) increased? Why would this happen?

Yes, probability increases as the mean increases.Yes, probability increases as the standard deviation decreases.     Yes, probability increases as the standard deviation increases.No, the probability stayed the same.

(e) If after 18 months the average monthly percentage return x is more than 2%, would that tend to shake your confidence in the statement that ? = 1.2%? If this happened, do you think the European stock market might be heating up? (Round your answer to four decimal places.)
P(x > 2%) =  

Explain.

This is very unlikely if ? = 1.2%. One would suspect that the European stock market may be heating up.This is very unlikely if ? = 1.2%. One would not suspect that the European stock market may be heating up.     This is very likely if ? = 1.2%. One would not suspect that the European stock market may be heating up.This is very likely if ? = 1.2%. One would suspect that the European stock market may be heating up.