Let Y1, Y2, . . . , Yn be independent,

Chapter 6, Problem 74E

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QUESTION:

Problem 74E

Let Y1, Y2, . . . , Yn be independent, uniformlydistributed random variables on the interval [0, θ]. Find the

a probability distribution function of Y(n) = max(Y1, Y2, . . . , Yn ).

b density function of Y(n) .

c mean and variance of Y(n) .

Questions & Answers

QUESTION:

Problem 74E

Let Y1, Y2, . . . , Yn be independent, uniformlydistributed random variables on the interval [0, θ]. Find the

a probability distribution function of Y(n) = max(Y1, Y2, . . . , Yn ).

b density function of Y(n) .

c mean and variance of Y(n) .

ANSWER:

Step 1 of 4

Given:

The random variables  are independent and uniformly distributed.

Define,

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