Part 1.

3.13 Overweight baggage: Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 44.8 pounds and standard deviation 3.3 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round to the nearest percent.) __________.

Part 2.

There are two distributions for GRE scores based on the two parts of the exam. For the verbal part of the exam, the mean is 151 and the standard deviation is 7. For the quantitative part, the mean is 153 and the standard deviation is 7.67. Use this information to compute each of the following:
(Round to the nearest whole number.)

a) The score of a student who scored in the 80-th percentile on the Quantitative Reasoning section. ________.
b) The score of a student who scored worse than 65% of the test takers in the Verbal Reasoning section. ________.

Part 3.

3.10 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 56 inches and standard deviation 5 inches.

a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (Keep 4 decimal places.) ____________.
b) What is the probability that a randomly chosen 10 year old is between 60 and 66 inches? (Keep 4 decimal places.) __________.
c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Keep 2 decimal places.) ________. inches
d) The height requirement for Batman the Ride at Six Flags Magic Mountain is 55 inches. What percent of 10 year olds cannot go on this ride? (Keep 2 decimal places.) %_______.

Part 4.

3.12 Speeding on the I-5, Part I: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.1 miles/hour and a standard deviation of 5 miles/hour. (Keep 2 decimal places.)

a) What percent of passenger vehicles travel slower than 80 miles/hour? _________%
b) What percent of passenger vehicles travel between 60 and 80 miles/hour? ____________%
c) How fast do the fastest 5% of passenger vehicles travel? __________ miles/hour
d) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5. __________%

8.16 LAB: Mileage tracker for a runner

Given the MileageTrackerNode class, complete main() to insert nodes into a linked list (using the InsertAfter() function). The first user-input value is the number of nodes in the linked list. Use the PrintNodeData() function to print the entire linked list. DO NOT print the dummy head node.

Ex. If the input is:

3
2.2
7/2/18
3.2
7/7/18
4.5
7/16/18

the output is:

2.2, 7/2/18
3.2, 7/7/18
4.5, 7/16/18

_____________________________

The given code that i need to use is:

______________________________

Main.cpp

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

int main (int argc, char* argv[]) {
// References for MileageTrackerNode objects
MileageTrackerNode* headNode;
MileageTrackerNode* currNode;
MileageTrackerNode* lastNode;

double miles;
string date;
int i;

// Front of nodes list
headNode = new MileageTrackerNode();
lastNode = headNode;

// TODO: Read in the number of nodes

// TODO: For the read in number of nodes, read
// in data and insert into the linked list

// TODO: Call the PrintNodeData() method
// to print the entire linked list

// MileageTrackerNode Destructor deletes all
// following nodes
delete headNode;
}

___________________________________________________

MileageTrackerNode.h

#ifndef MILEAGETRACKERNODEH
#define MILEAGETRACKERNODEH

#include <string>
using namespace std;

class MileageTrackerNode {
public:
// Constructor
MileageTrackerNode();

// Destructor
~MileageTrackerNode();

// Constructor
MileageTrackerNode(double milesInit, string dateInit);

// Constructor
MileageTrackerNode(double milesInit, string dateInit, MileageTrackerNode* nextLoc);

/* Insert node after this node.
Before: this -- next
After: this -- node -- next
*/
void InsertAfter(MileageTrackerNode* nodeLoc);

// Get location pointed by nextNodeRef
MileageTrackerNode* GetNext();

void PrintNodeData();

private:
double miles; // Node data
string date; // Node data
MileageTrackerNode* nextNodeRef; // Reference to the next node
};

#endif

______________________________________________

MileageTrackerNode.cpp

#include "MileageTrackerNode.h"
#include <iostream>

// Constructor
MileageTrackerNode::MileageTrackerNode() {
miles = 0.0;
date = "";
nextNodeRef = nullptr;
}

// Destructor
MileageTrackerNode::~MileageTrackerNode() {
if(nextNodeRef != nullptr) {
delete nextNodeRef;
}
}

// Constructor
MileageTrackerNode::MileageTrackerNode(double milesInit, string dateInit) {
miles = milesInit;
date = dateInit;
nextNodeRef = nullptr;
}

// Constructor
MileageTrackerNode::MileageTrackerNode(double milesInit, string dateInit, MileageTrackerNode* nextLoc) {
miles = milesInit;
date = dateInit;
nextNodeRef = nextLoc;
}

/* Insert node after this node.
Before: this -- next
After: this -- node -- next
*/
void MileageTrackerNode::InsertAfter(MileageTrackerNode* nodeLoc) {
MileageTrackerNode* tmpNext;

tmpNext = nextNodeRef;
nextNodeRef = nodeLoc;
nodeLoc->nextNodeRef = tmpNext;
}

// Get location pointed by nextNodeRef
MileageTrackerNode* MileageTrackerNode::GetNext() {
return nextNodeRef;
}

void MileageTrackerNode::PrintNodeData(){
cout << miles << ", " << date << endl;
}

The following equations describe an economy. (Think of C, I, G, etc., as being measured in billions and I as a percentage; a 5 percent interest rate implies I=5).

C = 0.8 (1 – t) Y

                              t = 0.30

                              I = 1000 – 50 i

G= 500

                              L = 0.25Y – 65 i

M/P = 700

1. Derive the IS equation.

AD = C + I + G + NX

AD = 0.8 (1 – t) Y + 1000 – 50i + 500

AD = 0.8 (1 – 0.3) Y + 1500 – 50i

             At equilibrium AD = Y so

                        Y= 0.8 (1 – 0.3) Y + 1500-50i

                        Y- [0.8 (1 - .3) Y]=1500 – 50i

                        Y[1 – (0.8(1 - .3))] = 1500 – 50i

                        Y= [1/ (1- (0.8 (1- 0.3))] x (1500- 50i)

                        Y= 2.27(1500 – 50i)

                        Y= 3405 – 113.5i

2. Derive the LM equation.

M-bar/P-bar = L

700= .25Y – 65i

0.25Y = 700 +65i

Y= 4(700 + 65i)

Y= 2800 + 260i

3. What are the equilibrium levels of income and interest rate?

3405 – 113.5i = 2800 + 260i

3405 – 2800 = 113.5i + 260i

605= 373.5i

i= 1.62

Y= 2800 + 260(1.62)

Y= 3221.2

4. What is the value of a_G which corresponds to simple multiplier with taxes?
   1. AG= 2.27 (First question)
5. What would be the new equilibrium levels of income and interest rate if the congress passed a tax-cut and the new tax rate was 25%, and concurrently, people became less frugal and consequently marginal propensity to consume increases to 0.90.
6. If the increased spending overshoots and the economy starts to experience inflation, calculate the new levels of equilibrium income and interest rate if the new Federal Reserve decided to curb spending and by lowering the real money supply to 550?
7. For each step, graph the IS and LM curves and clearly show their movements for the problems above. Although the graph needs not to be precise, you must clearly show if IS or LM curves shifted or tilted and in which direction.

1-A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 1750 square feet, find the maximum and minimum sizes of the homes the contractor should build. Assume that the standard deviation is 96 square feet and the variable is normally distributed.

2-Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n = 13, p = 0.7, P(Fewer than 4)

3-A student takes a 5 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets exactly 2 questions correct?

4- An investor is considering a $15,000 investment in a start-up company. She estimates that she has probability 0.15 of a $10,000 loss, probability 0.1 of a $10,000 profit, probability 0.3 of a $30,000 profit, and probability 0.45 of breaking even (a profit of $0). What is the expected value of the profit? $11,500 $15,250 $10,000 $8,500

Since you became an expert in Corporate Finance and CAPM, now you want to make some money by investing in stocks. Instead of buying one stock, you will make a diversified portfolio using several stocks. Suppose that there are only 3 stocks in the market, and expected return, standard deviation, and correlations are as follows

Stocks Expected Return Standard Deviation

Stock A    5% 5%

Stock B    7% 10%

Stock C 10%    20%

Correlations Stock A Stock B Stock C

Stock A 1    0.4 -0.3

Stock B 0.4 1 0.7

Stock C -0.3 0.7 1

*Calculate Expected Return and Standard Deviation of Each Portfolio:
Portfolio 1: 30% in Stock A + 70% in Stock B
Portfolio 2: 60% in Stock B + 40% in Stock C
Portfolio 3: 50% in Stock A + 50% in Stock C

You are given a transition matrix P. Find the steady-state distribution vector. HINT [See Example 4.]

P = [0.6 0 0.4

1 0 0

0 0.2 0.8]

You are given a transition matrix P. Find the steady-state distribution vector. HINT [See Example 4.]

P = [0.6 0 0.4

1 0 0

0 0.2 0.8]

Question 1: Given the following probability distributions for stock A and stock B

Calculate (a) expected return, (b) standard deviation (c) coefficient of variation for each stock (analyze single stock separately: do expected return for A, standard deviation for A, CV for A. Then repeat the steps for stock B)