Suppose the density function of a continuous random Variable X is: f(X) = AX^(-1/2) where 4 ≤ X ≤ 25. a.) Find the value of the constant A so that f(X) is a PROPER probability function. b.) Find CDF(X), E(X^2), V(X), σ(X) c.) Find P(9 ≤ X ≤ 16). Solution b) CDF= integration (1/6)*X^(-1/2) from 4 to x where 4.

1. Suppose the density function of a continuous random Variable X is:
f(X) = AX^(-1/2) where 4 ≤ X ≤ 25.
a.) Find the value of the constant A so that f(X) is a PROPER probability function.
b.) Find CDF(X), E(X^2), V(X), σ(X)
c.) Find P(9 ≤ X ≤ 16).
Solution
b)
CDF= integration (1/6)*X^(-1/2) from 4 to x where 4