1. If the random variable z has a standard normal distribution, find each of the following probability a) P(0 ≤ Z≤ 1.5) b) P(-2.5 ≤ Z≤ 0.5) 2. Suppose that a random variable x is normally distributed with mean µ = 500 and standard deviation o = 100. Find the needed value k in the following probability P(X ≤ k) = 0.985