2. The random variable X is subject to distribution according to the density function given by...

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2. The random variable X is subject to distribution according to the density function given by the formula: f(x) = { 0, x>0 x <0 (a) Determine the cumulative distribution function of the random variable X, (b) Calculate the expected value and standard deviation of the random variable X. Hint! = Lotn-le-idt n(n) (n-1)!, ne Z+ (2n-1), neZ+ (n) ====== (n+1) = F(n) (n + 1) 1 n!! == n(n-2)!! n = 0 or n=1 N 2 = 2N 2. The random variable X is subject to distribution according to the density function given by the formula: f(x) = { 0, x>0 x <0 (a) Determine the cumulative distribution function of the random variable X, (b) Calculate the expected value and standard deviation of the random variable X. Hint! = Lotn-le-idt n(n) (n-1)!, ne Z+ (2n-1), neZ+ (n) ====== (n+1) = F(n) (n + 1) 1 n!! == n(n-2)!! n = 0 or n=1 N 2 = 2N