16-2CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standarddeviation is 273 dollars, and the cost is normally distributed. You take a simple random sample of 40 autoinsurance policies. Round your answers to 4 decimal places.a. What is the distribution of X? X N(b. What is the distribution of a? - N(c. What is the probability that one randomly selected auto insurance is less than $912?d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is lessthan $912.e. For part d), is the assumption of normal necessary? O No Yes> Next Question

GivenMean(μ)=958standard deviation(σ)=273sample size(n)=40

Answered: CNNBC recently reported that the mean…

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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Private nonprofit four-year colleges charge, on average, $27,088 per year in tuition and fees. The standard deviation is $7,205. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 26,156 per year. c. Find the 60th percentile for this distribution. S (Round to the nearest dollar.)
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