Suppose your waiting time for a bus in the morning 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 X X10 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 min2 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 value variance min min 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 value min min variance