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 morningtime.(a) If you take the shuttle every morning and evening for a week, what is your total expectedwaiting 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 eveningwaiting times on a given day?(d) What are the expected value and variance of the difference between the total morning waitingtime and the total evening waiting time in a given week?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(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?