Let X be a random variable with density function f(x) = { k(1-x²), ito ≤x≤1; otherwise. 12 Find k, together with the expectation and the variance of the random variable Y defined as Y = 3X - 1.

Q: the probability density function f(x) = the mean μ = the standard deviation o =

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Q: Let X be a random variable with E[X]=2, Var(X)= 4. Compute the expectation and variance of 3– 2X .

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A: The probability density function of X:- f(x) = x218   if -3≤x≤3

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Q: 7. Let X be a continuous random variable with pdf f(x)=√ 0<x< 9. (a) Find c. (b) Find the mean and…

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Q: IF it was XG (23) Independent of Xen G (13) Find Miley D-Probability density Function of the…

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