QUESTION 8The age of population of jurors in certain area is normally distributed with mean age of 38 years with a standard deviation of 6 years. If one juror is selected at random from this population, which ofthe following probabilities can be found without using either normal probability table or software?O a. The probability that the age of that juror is less than 30 yearsO b. The probability that the age of that juror is more than 30 yearsO c. The probability that the age of that juror is less than 38 yearsO d. The probability that the age of that juror is more than 40 years

Let X be the random variable that denotes the age. Given that X~Nμ, σ. The population mean is 38.…

Answered: QUESTION 8 The age of population of…

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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The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. a. What is the probability that a tire will last at most 40,000 miles? b. What is the probability that a tire will last at least 65,000 miles? c. What is the probability that a tire will last between 70,000 and 80,000 miles?
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The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 48 inches (Current Results website, October 27, 2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with and (to decimals). b. What is the probability that the sample mean is within inch of the population mean for California? (to decimals) c. What is the probability that the sample mean is within inch of the population mean for New York? (to decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of the population mean greater? Why? The probability of being within inch is greater because the sample size is .
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Answer A-C
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