6. If Y~Beta(a, B) and fy(y) = 12y (1 -y), where 0

6. Part C. 13 If YNBeta(a, 13) and fy (y) 12y2(1 y), where O < y < 1. Hint you will need to integrate over the PDF to compute the expected value E (Y) and variance Var(Y) to then be able to compute a, and (which are a function of E(Y) and Var(Y). From the variance Var(Y), you compute the standard deviation. You will also need to integrate the PDF between the appropriate limits to answer A. B. C. Find a and Compute E(Y) + ay Determine P(0.3 < Y S 0.7) Var(Y)