Please solve (a) & (b) only! Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 10], whereas waiting time in the evening is uniformly distributed on [0, 12] independent of morning waiting time.(a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's X,, ..., X,o and use a rule of expected value.]min(b) What is the variance of your total waiting time? (Round your answer to two decimal places.)|min?(c) What are the expected value and variance of the difference between morning and evening waiting times on a given day? (Use morning time - evening time. Round the variance to two decimal places.)expected valueminvariancemin2(d) What are the expected value and variance of the difference between total morning waiting time and total evening waiting time for a particular week? (Use morning time - evening time. Assume a week includes only Monday through Friday.)expected valueminvariancemin?

Answered: Image /qna-images/answer/71759178-77b3-475b-a195-4336a947b4a1.jpg

(a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's x,,..., X40 and use a rule of expected value.] min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) min?

(a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's x,,..., X40 and use a rule of expected value.] min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) min?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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