Question

Asked Oct 29, 2019

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The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes. Find the probability that a randomly selected passenger has a waiting time less than 3.75 minutes. (round to three decimal places)

Step 1

A uniform distribution has an equal probability for all the outcomes of the random variable, that is, it has a constant probability. A continuous uniform distribution is defined over the range (*a*, *b*) where *a* is the smallest value and *b* is the largest value of the distribution. The values (*a*, *b*), are the parameters of the uniform distribution.

Consider, *X* be the random variable that represents the passengers waiting time is uniformly distributed with the parameters *a= *0 and *b* = 9.

Step 2

The probability that a randomly selected passenger has a wait...

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