1. Calculate the probability of locating an electron in a one-dimensional box of length 2.00 nm and n_x=4 between 0 and 0.286 nm. The probability is also plotted. You should compare (qualitatively) your numerical answer to the area under the curve on the graph that corresponds to the probability.

1. (Binomial) The probability that a patient recovers from a delicate heart operation is 0.85. Of the next 7 patients, what is the probability that

   1. (a) exactly 5 survive?

   2. (b) between 3 and 6 survive (inclusive)?

   3. (c) What is the probability that 4 or more patients will NOT recover from the heart operation?

Part 1: Summarize the current state of the economy. o Do this using economic data and reports. Be sure to interpret the data you present. o Be sure to use economic theory and models to help explain what is going on at this moment.

 Part 2: Discuss what you think the state of the economy will look like at the time of your last graduation (with your highest planned degree) and what that will mean for your job prospects and your income earning potential. o Do this by referring to published economic forecasts, or by making your own economic forecast. o Be sure to use economic theory and models to help explain why you think economic conditions will be as you predict. o Be sure to think about how your specific degree and profession will fit into the future labor market

 Part 3: Discuss one major financial goal you wish to accomplish in the next 10 years, set up a simple financial plan to reach that goal, then discuss how the performance of the economy and economic policies could affect your ability to reach that goal. o Start by stating your personal financial goal and briefly summarizing your financial plan.  Then discuss what assumptions you are making about the economy and your financesin your financial plan  Then use economic theory and models to explain what events/changes could accelerate or derail the pursue of your goal o Think about the probability of a recession, probability of unemployment in your profession, average return on investments, potential wage growth, inflation, etc… in the next 10 years.

Paper Requirements:  4 pages (typed double spaced)  Whenever you refer to a vocabulary term / concept / theory / principle from class you should bold and underline the text. o for example: "The economy isin a recessionwith the unemployment rate dramatically above the natural unemployment rate."  4 outside /verifiable references (APA or MLA style) with in-text citations and a full works cited section. o These references must be 4 different, outside sources from verifiable sources; no blogs, and no wikis. Your textbook does not count as one of your required citations.

It is about C++linked list code. my assignment is making 1 function, in below circumstance,(some functions are suggested for easier procedure of making function.)

void pop_Stack (struct linked_list* list, int number) //*This is the function to make and below is the explanation that should be written in given code.

This function removes some nodes in stack manner; the tail of the list will be removed, repeatedly. The parameter (variable 'number') means the number of nodes that will be removed. When parameter is bigger than 1, popping a node with n times, you do not remove node at one go. If there is only one node in the list, please make sure it frees (de-allocates) both the node and the list. If the list is not a stack type(list->type_of_list!=1), print the error message “Function pop_Stack: The list type is not a stack” and exit the function. If the 'number' parameter is less than 1 or more than the number of nodes in the stack, respectively print the error message “Function popStack: The number of nodes which will be removed is more than 1” and “Function popStack: The number of nodes which will be removed is more than that in the stack”, then exit the function. The removed nodes should be freed.

Given code is written below,(There is a function to fill in last moment in this code)

linked_list.h: This is the header file of linkLQS.c that declares all the functions and values that are going to be used in linkLQS.c. You do not have to touch this function.

-----------------------------------------------------------------------

(Below code is about linked_list.h)

#include
#include
#include

struct linked_node{
   int value;
   struct linked_node* next;
   struct linked_node* prev;
};

struct linked_list{
   int type_of_list; // normal = 0, stack = 1
   struct linked_node* head;
   struct linked_node* tail;
   int number_of_nodes;
};

-----------------------------------------------------------------------------------------------------------------------------

#include "linked_list.h"
#include "string.h"

int list_exist;

struct linked_list* create_list (int number_of_nodes, int list_type)
{
   int a[number_of_nodes];
   int i, j;
   int bFound;

   if (number_of_nodes < 1)
   {
       printf("Function create_list: the number of nodes is not specified correctly\n");
       return NULL;
   }
   if(list_exist == 1)
   {
       printf("Function create_list: a list already exists\nRestart a Program\n");
       exit(0);  
   }
   if(list_type != 0 && list_type != 1)
   {
       printf("Function create_list: the list type is wrong\n");
       exit(0);  
   }
   struct linked_list * new_list = (struct linked_list*)malloc(sizeof(struct linked_list));
   new_list->head = NULL;
   new_list->tail = NULL;
   new_list->number_of_nodes = 0;
   new_list->type_of_list = list_type;

   //now put nodes into the list with random numbers.
   srand((unsigned int)time(NULL));
   if(list_type == 0)
   {
       for ( i = 0; i < number_of_nodes; ++i )
       {
           while ( 1 )
           {
  
               a[i] = rand() % number_of_nodes + 1;
               bFound = 0;
               for ( j = 0; j < i; ++j )
               {
                   if ( a[j] == a[i] )
                   {
                       bFound = 1;
                       break;
                   }
               }
               if ( !bFound )
                   break;
           }
           struct linked_node* new_node = create_node(a[i]);
           insert_node(new_list, new_node);
       }
   }
   else if(list_type == 1)
   {
       for ( i = 0; i < number_of_nodes; ++i )
       {
           while ( 1 )
           {
  
               a[i] = rand() % number_of_nodes + 1;
               bFound = 0;
               for ( j = 0; j < i; ++j )
               {
                   if ( a[j] == a[i] )
                   {
                       bFound = 1;
                       break;
                   }
               }
               if ( !bFound )
                   break;
           }
           struct linked_node* new_node = create_node(a[i]);
           push_Stack(new_list, new_node);
       }
   }
   list_exist = 1;
   printf("List is created!\n");
   return new_list;
}

struct linked_node* create_node (int node_value)//This functon is the example for reference of the assignment function
{
   struct linked_node* node = (struct linked_node*)malloc(sizeof(struct linked_node));
   node->value = node_value;
   node->next = NULL;
   node->prev = NULL;
   return node;
}

void insert_node(struct linked_list* list, struct linked_node* node)//This functon is the example for reference of the assignment function
{
   node->next = NULL;
   node->prev = NULL;

   if(list->head == NULL)       //if head is NULL, tail is also NULL.
   {
       list->head = node;
       list->tail = node;
       list_exist = 1;
   }
   else if(list->head == list->tail)
   {
       node->next = list->head;
       list->head->prev = node;
       list->head = node;
   }
   else if(list->head != list->tail)
   {
       node->next = list->head;
       list->head->prev = node;
       list->head = node;
   }
   (list->number_of_nodes)++;
}

void pop_Stack(struct linked_list* list, int number)//The function to be written!!
{
~~~~~~~~~~~~~ //your code starts from here
}

1. As a special promotion for its 12-ounce cans of cold coffee, a coffee drink company printed a message on the bottom of each can. Some of the bottoms read, "Better luck next time!" whereas others read, "You won!" The company advertised the promotion with the slogan "One in five wins a prize!" Suppose the company is telling the truth and that every 12-ounce can of coffee has a one-in-five chance of being a winner. Six friends each buy one 12-ounce can of coffee at a local convenience store. Let X equal the number of friends who win a prize.

Part A: Explain why X is a binomial random variable. (3 points)

Part B: Find the mean and standard deviation of X. Interpret each value in context. (4 points)

Part C: The store clerk is surprised when two of the friends win a prize. Is this group of friends just lucky, or is the company's one-in-five claim inaccurate? Compute P(X ≥ 2) and use the result to justify your answer.

2. The army reports that the distribution of waist sizes among female soldiers is approximately normal, with a mean of 28.4 inches and a standard deviation of 1.2 inches.

Part A: A female soldier whose waist is 26.1 inches is at what percentile? Mathematically explain your reasoning and justify your work. (5 points)

Part B: The army uniform supplier regularly stocks uniform pants between sizes 24 and 32. Anyone with a waist circumference outside that interval requires a customized order. Describe what this interval looks like if displayed visually. What percent of female soldiers requires custom uniform pants? Show your work and mathematically justify your reasoning.

What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 15 cell phone owners is studied. Round the answers to at least four decimal places. Part 1 of 4 (a) What is the probability that six or more of them used their phones for guidance on purchasing decisions? The probability that six or more of them used their phones for guidance on purchasing decisions is . Part 2 of 4 (b) What is the probability that fewer than ten of them used their phones for guidance on purchasing decisions? The probability that fewer than ten of them used their phones for guidance on purchasing decisions is . Part 3 of 4 (c) What is the probability that exactly eight of them used their phones for guidance on purchasing decisions? The probability that exactly eight of them used their phones for guidance on purchasing decisions is . Part 4 of 4 (d) Would it be unusual if more than 10 of them used their phones for guidance on purchasing decisions? the probability is?

One of your older friends is a student advisor to seniors at the UW’s Foster School of Business. She has determined the probability a student registers for a quantitative course (i.e., fin, acct) equals 0.37. She has also determined the probability a student registers for a qualitative course (i.e., mgmt, mktg) equals 0.61, and the probability a student registers for a qualitative course, given that she has already registered for a quantitative course, equals 0.82.(SHOW WORK;Round to 4 decimal places)

a)

Determine the probability a student registers for both quantitative and a qualitative course.

b)

Determine the probability a student registers for either quantitative or qualitative course.

c)

Determine the probability a student registers for a quantitative course, given she has registered for a qualitative course

d)

Determine the probability a student registers for a qualitative course, given she did NOT register for a quantitative course.

e)

Are the two events, registering for a quantitative course and registering for a qualitative course,mutually exclusive?

f)

Are the two events, registering for a quantitative course and registering for a qualitative course, statistically independent?

(Please make answer clear)

Big babies: A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 16 babies is studied. Round the answers to three decimal places.

A. What is the probability that exactly 6 of them weigh more than 20 pounds? The probability that exactly 6 of them weigh more than 20 pounds is__?

(b) What is the probability that more than 5 weigh more than 20 pounds? The probability that more than 5 weigh more than 20 pounds is__?

(c) What is the probability that fewer than 5 weigh more than 20 pounds? The probability that fewer than 5 weigh more than 20 pounds is__?

(d) Would it be unusual if more than 4 of them weigh more than 20 pounds? It ▼(Choose one) (would OR would not) be unusual if more than 4 of them weigh more than 20 pounds, since the probability is

7. Employees of a local university have been classified according to gender and job type as shown below.

1. (A) If an employee is selected at random what is the probability that the employee is male?

2. (B) If an employee is selected at random what is the probability that the employee is male and salaried staff?

3. (C) If an employee is selected at random what is the probability that the employee is female given that the employee is a salaried member of staff?

4. (D) If an employee is selected at random what is the probability that the employee is female or works as a member of the faculty?

5. (E) If an employee is selected at random what is the probability that the employee is female or works as an hourly staff member?

6. (F) If an employee is selected at random what is the probability that the employee is a member of the hourly staff given that the employee is female?

7. (G) If an employee is selected at random what is the probability that the employee is a member of the faculty?

8. (H) Are gender and type of job mutually exclusive? Explain with probabilities.

(I) Are gender and type of job statistically independent? Explain with probabilities

NOTE :- Please find the probabilities as functions of cost

A service facility charges a $20 fixed fee plus $25 per hour of service up to 6 hours, and no additional fee is charged for a service visit exceeding 6 hours. Suppose that the service time τ again ranges from 0 to 10 hours, but now the probability density is twice as large during the middle 6 hours [2, 8] than during the outer 4 hours [0, 2] and [8, 10]. (Note as before that τ is a continuous random variable.) Let X represent the cost of service in the facility.

We would like to set up the probability density function (PDF) and the cumulative distribution function (CDF), then use them to analyze service fees.

Design Specifications

1. Sketch the probability density as a function of time. Be quantitative, and pay attention to units. Compute the probability that the service is greater than 6 hours. Then, sketch the probability density as a function of cost. Again, be quantitative and pay attention to units

2. Use the probability density function to set up the cumulative probability, also as a function of X.