Suppose you show up at a bus stop to wait for a bus that comes by once every 15 minutes. You do not know what time the bus came by last. The arrival time of the next bus is a uniform distribution with c = 0 and d = 15 measured in minutes. Find the probability that you will wait 5 minutes for the next bus. That is, find P(X = 5). 7.5 0 0.667 0.333
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Step 1: Since the arrival time of the next bus is a uniform distribution with parameters μ = 0 and σ = 15, the probability density function (pdf) of X is given by f(x) = 1/15 for 0 ≤ x ≤ 15 and f(x) = 0 otherwise. Show more…
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