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, 16] 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

and use a rule of expected value.]

min

What is the variance of your total waiting time? (Round your answer to two decimal places.)

min²

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 value minvariance min²

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 value min variance min²