The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. CI Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. (Simplify your answer. Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger
has a waiting time greater than 2.25 minutes.
Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.
(Simplify your answer. Round to three decimal places as needed.)
Transcribed Image Text:K The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. (Simplify your answer. Round to three decimal places as needed.)
Expert Solution
Step 1

Given:

Lower limit (a) = 0

Upper limit (b) = 7

Let X be uniform distribution representing the waiting times between departure and arrival of a passenger from  subway .

X ~ U(0,7)

fXx=1b-a            a<x<b=17-0=17

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