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find the probability that the waiting time will be exactly 5 minutes distributed with 0 and...

find the probability that the waiting time will be exactly 5 minutes distributed with 0 and 8 minutes

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Answer #1

Let X = waiting time.

You have anywhere from zero minutes to eight minutes to wait. Your probability of having to wait any number of minutes in that interval is the same. This is a uniform distribution.

The notation for the uniform distribution is X∼U(a,b)

where a= the lowest value of x and

b= the highest value of x.

The probability density function is

Given

a = 0

b = 8

So,

The graph of this distribution is

Given X = 5

Since this would be just one line, and the width of the line is 0, then the

Therefore, the probability that the waiting time will be exactly 5 minutes distributed with 0 and 8 minutes is 0

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