2. The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 20 minutes, inclusive. a. What is the probability that a person waits fewer than 15 minutes? b. Find the mean, ?, and the standard deviation, ? of waiting time. c. Ninety percent of the time, the time a person must wait falls below what value?
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Given that the probability density function for a uniform distribution is f(x) = 1/(b-a) for a ā¤ x ā¤ b, and 0 otherwise, where a = 0 and b = 20 in this case. The probability that a person waits fewer than 15 minutes is the area under the curve from 0 to 15, which Show moreā¦
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