Solved: Let Y1 and Y2 be independent and uniformly

Chapter 6, Problem 85E

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QUESTION:

Problem 85E

Let Y1 and Y2 be independent and uniformly distributed over the interval (0, 1). Find P(2Y(1) < Y(2) ).

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QUESTION:

Problem 85E

Let Y1 and Y2 be independent and uniformly distributed over the interval (0, 1). Find P(2Y(1) < Y(2) ).

ANSWER:

Step 1 of 4

 and  are uniformly distributed on .

The probability density and cumulative probability of such variable is given by:

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