Question 5
Let Z be a standard normal random variable:
(a) If P(Z > z) = 0.01, find z.
(b) If P(-ta < Z < ta) = 0.95, find ta.
(c) If P(-b < Z < b) = 0.99, find b.
Question 6
(a) If X is a normal random variable with a mean of 500 and a standard deviation of 110, find P(X > 800).
(b) If X is a normal random variable with a mean of 500 and a standard deviation of 120, find P(X > 800).