1. Assume X is normally distributed with mean 5 and standard deviation 4. Determine the respective values of x which satisfy, P(X > x) = 0.5 P(X > x) = 0.95, P(x 2. Let X = X θ have a geometric...

1. Assume X is normally distributed with mean 5 and standard deviation 4. Determine the respective values of x which satisfy, P(X > x) = 0.5 P(X > x) = 0.95, P(x <><>

2. Let X = X_θ
have a geometric distribution with

By mixing the X_θ
with regard to a suitable structure distribution density, show that