2. Problem 2: Let X be a continuous random variable with the followingprobability density functionS3x?, for æ € [0, 1]0 otherwisef(x) =• Compute E[X] and Var(X)• Compute P[0.25 < X < 0.75]

PDF of X is given by, f(x) = 3x2for x∈[0,1]0otherwise So, E(X)=∫-∞∞x f(x)dx=∫01x 3x2…

Answered: Problem 2: Let X be a continuous random…

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Problem 2: Let X be a continuous random variable with the followi probability density function S3a², for æ € [0, 1] 0 otherwise f(x) = • Compute E[X] and Var(X) • Compute P[0.25 < X < 0.75]