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CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the standard deviation is 200 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X-NO b. What is the distribution of a? - N c. What is the probability that one randomly selected auto insurance is less than $1013? d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $1013. e. For part d), is the assumption of normal necessary? O No Yes

CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the standard deviation is 200 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X-NO b. What is the distribution of a? - N c. What is the probability that one randomly selected auto insurance is less than $1013? d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $1013. e. For part d), is the assumption of normal necessary? O No Yes

MATLAB: An Introduction with Applications
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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CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the standard deviation is 200 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of \(X\)? \(X \sim N(\quad, \quad)\) b. What is the distribution of \(\bar{x}\)? \(\bar{x} \sim N(\quad, \quad)\) c. What is the probability that one randomly selected auto insurance is less than $1013? \(\quad\) d. A simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $1013. \(\quad\) e. For part d), is the assumption of normal necessary? \(\text{No} \) \(\text{Yes}\) [Next Question]
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the standard deviation is 200 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of \(X\)? \(X \sim N(\quad, \quad)\) b. What is the distribution of \(\bar{x}\)? \(\bar{x} \sim N(\quad, \quad)\) c. What is the probability that one randomly selected auto insurance is less than $1013? \(\quad\) d. A simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $1013. \(\quad\) e. For part d), is the assumption of normal necessary? \(\text{No} \) \(\text{Yes}\) [Next Question]
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