Question

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes....

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes. What is the probability that the mail arrival time is more than 25 minutes on a given day?

Math   Statistics-And-Probability   
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Answer #1

Solution:

Given: The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.

Thus probability density function is given by:

and its cumulative distribution function is given by:

We have to find: the probability that the mail arrival time is more than 25 minutes on a given day

That is: P( X> 25) =............?

thus  the probability that the mail arrival time is more than 25 minutes on a given day is 0.5 .

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