Consider the pdf for total waiting time Y for two busesf(
Chapter 4, Problem 20(choose chapter or problem)
Consider the pdf for total waiting time Y for two busesf( y) 55125 y 0 # y , 525 2 125 y 5 # y # 100 otherwiseintroduced in Exercise 8.a. Compute and sketch the cdf of Y. [Hint: Considerseparately 0 # y , 5 and 5 # y # 10 in computingF(y). A graph of the pdf should be helpful.]b. Obtain an expression for the (100p)th percentile. [Hint:Consider separately 0 , p , .5 and .5 , p , 1.]c. Compute E(Y) and V(Y). How do these compare withthe expected waiting time and variance for a singlebus when the time is uniformly distributed on [0, 5]?
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