CNNBC recently reported that the mean annual cost of auto insurance is 991 dollars. Assume the standard deviation is 206 dollars, and the cost is normally distributed. You take a simple Fandom sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? I N( c. What is the probability that one randomly selected auto insurance is more than Ş1015?

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CNNBC recently reported that the mean annual cost of auto insurance is 991 dollars. Assume the standard
deviation is 206 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto
insurance policies. Round your answers to 4 decimal places.
a. What is the distribution of X? X - N(
b. What is the distribution of ? I N(
c. What is the probability that one randomly selected auto insurance is more than $1015?
d. a simple random sample of 38 auto insurance policies, find the probability that the average cost is
more than $1015.
e. For part d), is the assumption of normal necessary? O No Yes
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 991 dollars. Assume the standard deviation is 206 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? I N( c. What is the probability that one randomly selected auto insurance is more than $1015? d. a simple random sample of 38 auto insurance policies, find the probability that the average cost is more than $1015. e. For part d), is the assumption of normal necessary? O No Yes
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