d. a simple random sample of 10 auto insurance policies, find the probability that the average cost is more than $1100. e. For part d), is the assumption of normal necessary? Yes No
d. a simple random sample of 10 auto insurance policies, find the probability that the average cost is more than $1100. e. For part d), is the assumption of normal necessary? Yes No
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer d and e

Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1008 dollars. Assume the standard deviation is 242 dollars, and the cost is normally distributed. You take a simple random sample of 10 auto insurance policies. **Round your answers to 4 decimal places.**
a. What is the distribution of \( X \)?
\( X \sim N \left( 1008, 242 \right) \)
b. What is the distribution of \( \bar{x} \)?
\( \bar{x} \sim N \left( 1008, 76.5271 \right) \)
c. What is the probability that one randomly selected auto insurance is more than \$1100?
0.3520
d. A simple random sample of 10 auto insurance policies: Find the probability that the average cost is more than \$1100.
(Answer not provided in the image)
e. For part d), is the assumption of normal necessary?
○ Yes
○ No
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