(b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round youranswer to four decimal places.)(c) What is the probability that the sample mean is within 1 inch of the population mean for New York? (Round youranswer to four decimal places.) The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California anda sample of 47 years of rainfall for New York has been taken.

a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Answered: (b) What is the probability that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Name: California State University, Fresno DS 123 Class Work #1 Problem I. Using the standard normal table, find the following probabilities: 1. 1. Find the amount of area to the right of z=2.18. %3D 2. 2. Find the probability of a z-score below z=-1.37. 3. 3. Find the area between a z of - 1.37 and az of 2.18. 4. 4. Find the area equal to or above a z of - 2.04. 5. 5. Find the area equal to or below a z of 1.26. Problem II. Assume x is normally distributed with a population mean u= 15 and population standard deviation o=3. Use the approximate areas beneath the normal curve to answer the following five questions. %3D 6. 6. Find P(x216). 1. 7. Find P(12
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(b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) (c) What is the probability that the sample mean is within 1 inch of the population mean for New York? (Round your answer to four decimal places.)