3. (Opts 4.4.2) The random variable X has edf F(x) = 1 -( kx)" for >0 and 0 elsewhere. k and a are both constants that a

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3 Opts 4 4 2 The Random Variable X Has Edf F X 1 Kx For 0 And 0 Elsewhere K And A Are Both Constants That A 1 (18.34 KiB) Viewed 31 times

3. (Opts 4.4.2) The random variable X has edf F(x) = 1 -( kx)" for >0 and 0 elsewhere. k and a are both constants that are greater than 0. (a) Find the probability density function of X (b) Find a general form for the moments of X. That is, find a general expression for E(X) {1,2,...}. Does the expression work for all values a > 0 or is there a restriction on what values a can take? Hint: Use the force a density strategy. (e) Find the mean and variance of X. for r =