Stat 215 Assignment 9

# Stat 215 Assignment 9 - Stat 215 Assignment 9 Module:...

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Stat 215 Assignment 9 Module: Normal , Exercise: Rainfall Objective : (not available) Problem Description : The annual rainfall in a certain area is normally distributed with a mean of 25 inches and a standard deviation of 5 inches. The following questions ask you to compute probabilities and quantiles from a normal distribution. The following normal Java applet displays the probabilities of a normal random variable, X , with a mean of 25 in and a standard deviation of 5 in. Use this applet to answer the questions below. Question What is the probability the area receives at least 30 inches of rain in a year? What is the Z score corresponding to 30? Do you need to compute Z to obtain P(X > 30)? Why or why not? Answer P(X >= 30) = 0.1587. z = (30 - 25)/5 = 1, but it is not necessary to compute z since the probability is computed directly in the applet. Your Answer P(X>=30) = 0.1587 P(Z>=1) = 0.1587 so Z = 1 or (30-25)/5 = 1. You don't need to calculate it because the applicate tells you the Z value for that probability. Grader

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## This note was uploaded on 04/03/2008 for the course STAT 215 taught by Professor Dr. during the Spring '08 term at WVU.

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Stat 215 Assignment 9 - Stat 215 Assignment 9 Module:...

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