Name:________________________
In this homework, as in all homeworks and exams in the course, state the definition and distribution of any random variable you use. For example, the solution to problem 4 of Exam 1 should begin, "Let X be the salary of a randomly chosen faculty member. We are given that X is normally distributed with mean $51,500 and standard deviation of $3,000 (or, in our shorthand, given that X~N(51500, 3000)".
1. (Like 5.80 on page 233). An airline deliberately overbooks on some flights because it knows some passengers who make reservations will not show up for a flight. Suppose each passenger has .90 probability of showing up for a particular flight that holds 164 passengers. What is the most reservations the airline can make and still be at least 95% certain that every person who shows up for the flight with a reservation can be accommodated with a seat on the plane?
2. Do exercise 5.86 on page 233.
3. Do exercise 6.14 on page 258.
4. Do exercise 6.18 on page 258.
5. Do exercise 6.24 on page 267.
6. Do exercise 6.32 on page 268.
7. Do exercise 6.38 on page 277.
8. Do exercise 6.54 on page 287.