The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. Asample of 31 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken.(a) Show the probability distribution of the sample mean annual rainfall for California.-2.1-14-0.7 0 0.7 1.4 2.1199 200 21.3 22 22.7 234 24.1inchesinches^^inches39.9 40.6 41.3 42 42.7 434 44.1@010 14 18 22 26(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)(a) In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why?30 34inches

Given information for State of California: Mean, μ=22. Standard deviation, σ=4. Sample size, n=31.…

Answered: sample of 31 years of rainfall for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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