Question

A water hydrant dispenses water at a rate described by a uniform distribution over the interval...

  1. A water hydrant dispenses water at a rate described by a uniform distribution over the interval 50 to 70 gallons per minute. Find the probability that between 58 gallons and 62 gallons are dispensed during a randomly selected minute.

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Answer #1

Solution :

Given that,

a = 50

b = 70

P(c < x < d) = (d - c) / (b - a)

P(58 < x < 62) = (62 - 58) / (70 - 50)

P(58 < x < 62) = 0.20

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