Suppose your waiting time for a bus in the morning is uniformly distributed on [

Question

Suppose your waiting time for a bus in the morning is uniformly distributed on [0, B1, whereas waiting time in the evening is uniformly distributed on [0, 15] independent of morning waiting time. (a) If you take the bus each morming and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Fnday.) [Hint: Define v's X1, ..., X10 and use a nule of expected value.] (h) what is the variance of your total waiting time? (Round your answer to two decimal places.) EE8.68 x min? (e) what are the expected value and variance of the diference between morniny and evening waiting lines on a given day? (Use morniny line - everting time. Round Line variance to two decimal places.) expected value -4 V min variance 26.870 min? (d) what are the expected value and variance of the difference between total moming waiting time and to tal evening waiting time for a particulier week? (Use moming time - evening time. Assume a week includes only Monday through Friday.) expected value 20 V min variance 666.63 |x min? Need Help? Road Talk to a Tutor

Explanation / Answer

b)here variance for 5 days =5*(Var(morning)+Var(evening))=5*((8-0)2/12+(16-0)2/12) =133.33

d)

for option D variance should be same as part b

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