C recently reported that the mean annual cost of auto insurance is 1017 dollars ion is 249 dollars, and the cost is normally distributed. You take a simple rando nce policies. Round your answers to 4 decimal places. What is the distribution of X? X - N( What is the distribution of ¤? ¤ - N( What is the probability that one randomly selected auto insurance is less than

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CNNBC recently reported that the mean annual cost of auto insurance is 1017 dollars. Assume the standard
deviation is 249 dollars, and the cost is normally distributed. You take a simple random sample of 37 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 a? ¤ - N(
c. What is the probability that one randomly selected auto insurance is less than $997?
d. a simple random sample of 37 auto insurance policies, find the probability that the average cost is
less than $997.
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1017 dollars. Assume the standard deviation is 249 dollars, and the cost is normally distributed. You take a simple random sample of 37 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 a? ¤ - N( c. What is the probability that one randomly selected auto insurance is less than $997? d. a simple random sample of 37 auto insurance policies, find the probability that the average cost is less than $997.
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