The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66

Question

3 years ago

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The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66

minutes. find the probability that a randomly selected passenger has a waiting time greater thangreater than 3.253.25 minutes. find the probability that a randomly selected passenger has a waiting time greater thangreater than 3.253.25 minutes.

Mathematics

1 answer:

Anna71 [15] · Answer 1 · 2022-06-17T04:34:47+03:00

<span>You are given the waiting times between a subway departure schedule and the arrival of a passenger that are uniformly distributed between 0 and 6 minutes. You are asked to find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Le us denote P as the probability that the randomly selected passenger has a waiting time greater than 3.25 minutes.
P = (length of the shaded region) x (height of the shaded region)
P = (6 - 3.25) * (0.167)
P = 2.75 * 0.167
P = 0.40915
P = 0.41</span><span />