Let X_{1},X_{2},...,X_{6} be an i.i.d. random sample where each X_{i}ZS

Daniaal Sanchez

Daniaal Sanchez

Answered question

2021-10-22

Let X1,X2,,X6 be an i.i.d. random sample where each Xi is a continuous random variable with probability density function
f(x)=e(x0),x>0
Find the probability density function for X6.

Answer & Explanation

Arham Warner

Arham Warner

Skilled2021-10-23Added 102 answers

Step 1
We know,
f(x)=e(x0),x>0
And,
X1X2,,X6
are IID random variables
Step 2
Therefore,
f(X6)=e(x60),x6>0

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