Define a random variable , and a new random variable Y, such that 1) Find the...

Question

Question

Define a random variable $T~erp(A)$ , and a new random variable Y, such that $Y=sqrt{T}$

1) Find the density function of Y.( Instruction: Find the the cumulative distribution function and the derivative it)

2) Find the expectation of Y for $lambda =30$ (Hint: look for its connection with normal distribution of random variable)

Answer 1

Answer #1

For the first question I m using simple transformation technique of getting PDF

For 2nd one I will look into the hint to get it using normal distribution

て、仁丁で. Elプ 302汇-392 乙2 フフ r(え 2 プ乙大可

Answer 2

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