Question #337979

the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes


1
Expert's answer
2022-05-09T09:18:40-0400

We have a uniform distribution, a=0, b=8.

The probability that X takes on a value between x1 and x2 can be found by the following formula:

P(x1<X<x2)=x2x1ba,P(4.25<X<8)=84.2580=0.46875.P(x_1<X<x_2)=\cfrac{x_2-x_1}{b-a},\\ P(4.25<X<8)=\cfrac{8-4.25}{8-0}=0.46875.


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