Find the probability that a waits for at least 5 minutes

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Two friends A and B meet every morning at the Grand Central Station around 7 am. Suppose the actual times they arrive are independent and uniformly distributed between 6:55 am and 7:05am. Let Z denote the time between arrivals, i.e. Z = time B arrives - time A arrives (can be negative!).

(a) What is the range of Z?

(b) Find the density of Z.

(c) Find the probability that A waits for at least 5 minutes before B arrives.

Reference no: EM13254479

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