Suppose your waiting time for a bus in the morning isuniformly distributed on [0, 8]

Chapter 5, Problem 64

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Suppose your waiting time for a bus in the morning isuniformly distributed on [0, 8], whereas waiting time inthe evening is uniformly distributed on [0, 10] independentof morning waiting time.a. If you take the bus each morning and evening for aweek, what is your total expected waiting time?[Hint: Define rvs X1, . . . , X10 and use a rule ofexpected value.]b. What is the variance of your total waiting time?c. What are the expected value and variance of the differencebetween morning and evening waiting timeson a given day?d. What are the expected value and variance of the differencebetween total morning waiting time and totalevening waiting time for a particular week?

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