Show all your work. For each question, draw a picture of the probability distribution, compute the requested probability, and show that probability on the picture. Use the table for Standard Normal Distribution where applicable. Problem 1. Random variable X has a mean of 300 and standard deviation of 50. a) What is the probability of X > 320? b) What is the probability of X 380? c) What is the probability of 260 5 X $ 330? Problem 2 . Random variable Z has Standard Normal distribution . a) What is the probability p( -1.3 1.6 )