Find the expected values and variances of the exponential random variables with the density functions given below 3e^{-3x}

Ernstfalld

Ernstfalld

Answered question

2021-05-18

Find the expected values and variances of the exponential random variables with the density functions given below
3e3x

Answer & Explanation

Neelam Wainwright

Neelam Wainwright

Skilled2021-05-19Added 102 answers

Step 1
it is given that x is a exponential random variables with pdf,
f(x)=3e3x
Step 2
Pdf of exponential distribution
f(x)=0e0x,x0
Mean of exponential distribution =10
Variance of exponential distribution =102
Given pdf, f(x)=3e3x
Comparing it with pdf of exponential distribution, 0 = 3
Mean of exponential distribution =13
Variance of exponential distribution =132=19

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