(d) What are the expected value and variance of the difference between the total morning waiting time and the total evening waiting time in a given week?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
icon
Related questions
Question

M-1 please help me with the below problem with step by step explanation clearly.

Needed part D only please.

1. Suppose your waiting time for the campus shuttle in the morning is uniformly distributed on [0, 8],
but the waiting time in the evening is uniformly distributed on [0, 15)], independent of the morning
time.
(a) If you take the shuttle every morning and evening for a week, what is your total expected
waiting time?
(b) What is the variance of your total waiting time?
(c) What are the expected value and variance of the difference between the morning and evening
waiting times on a given day?
(d) What are the expected value and variance of the difference between the total morning waiting
time and the total evening waiting time in a given week?
Transcribed Image Text:1. Suppose your waiting time for the campus shuttle in the morning is uniformly distributed on [0, 8], but the waiting time in the evening is uniformly distributed on [0, 15)], independent of the morning time. (a) If you take the shuttle every morning and evening for a week, what is your total expected waiting time? (b) What is the variance of your total waiting time? (c) What are the expected value and variance of the difference between the morning and evening waiting times on a given day? (d) What are the expected value and variance of the difference between the total morning waiting time and the total evening waiting time in a given week?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,