Consider the random variable X which describes the percentage of the day a kid spends watching tv, X, has density f(x) = kx2 , for 0<= x <= 1.
1) Determine the value of k that makes f(x) a valid density function. Already found this value it is k = 3.
2) Calculate the moment generating function of X.
(please include a description of the integration by parts, i keep getting lost in the integration)