Question: X is uniform in the range [0,1]. Obtain the pdf of Y=-3log(X). What is its mean? 3. If g(X)=FX(x), where X is a continuous random

X is uniform in the range [0,1]. Obtain the pdf of Y=-3log(X). What is its mean? 3. If g(X)=FX(x), where X is a continuous random variable, obtain the pdf, CDF and the mean of g(X). 4. X is uniform in [-2,6]. Obtain the pdf and CDF of Y=1/X2 . 5. An organization purchases 10 computers from a manufacturer with lifetimes modeled as exponential variables (mean of 5 years). What is the probability that at least 6 computers are functioning beyond 6 years? 6. X is uniform in [0,1]. Obtain the pdf of Y=Xn , n>0. 7. X is uniform in [0,5]. Obtain the average value of exp(X). 8. X is exponentially distributed with a mean of 4. Obtai

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