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If we have a random variable T distributed according to exponential distribution with mean 1.9 hours....

If we have a random variable T distributed according to exponential distribution with mean 1.9 hours. What is the probability that T will be greater than 69 minutes?

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Answer #1

T follows exponential distribution

Given : mean = 1.9 hours

So T ~Exp(1/1.9)

We need to find P(T>69)

First we need to convert 69 minutes in to hours.

69 minutes= 1.15 hours

Therefore the required probability is P(T>1.15)

The distribution function of the exponential distribution is

Thereforet the probability that T will be greater than 69 minutes is 0.5459

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