please refer to attachment

Problem 1. (6 points) a) Find the z in P(Z > z) = 0.8907. Plot the distribution, highlight the area of the probability and the position of z. b) Find the z in P(O 5 Z S 2) = 0.3665. Plot the distribution and highlight the area of the P(O E Z 5 z). c) Find the z in P(Z 5 z) = 0.7486. Additionally, plot the distribution and highlight the area of P(z 5 Z 5 2). Calculate the value of P(z 5 Z 5 z)