# Jointly Distributed Random Variables : Uniform Distribution and Joint Probability Density Function

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10. ... Suppose that X and Y are independent with each uniformly distributed on the interval ...

a. What is the joint pdf?

b. What is the probability that they both arrive between ...

c. If the first one to arrive will wait only 10 minutes before leaving to eat elsewhere, what is the probability ...

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Solution. (a) By hypothesis, X and Y are independent and follow uniform distribution on [5,6]. So, their pdfs are

and

So, the joint pdf of X and Y is

(b) Since the ...

#### Solution Summary

Uniform Distribution and Joint Probability Density Function are investigated.

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