Answer to Question #319528 in Statistics and Probability for piewalt

Question

Assume that Z, V1 and V2 are independent random variables with Z ~ N(0,1), V1 ~ X^2 (5) (chi-square) and V2 ~ X^2 (9) (chi-square). Find the following:

a) P[V1+V2<8.6]

b)P[Z/(sqrt(V1/5))<2.015]

c)P[Z> 0.611(sqrt(V2))]

d)P[V1/V2 < 1.450]

e)The value b such that P[V1/(V1+V2) < b] = 0.90.