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CNNBC recently reported that the mean annual cost of auto insurance is 1038 dollars. Assume the standard deviation is 229 dollars, and the cost is

CNNBC recently reported that the mean annual cost of auto insurance is 1038 dollars. Assume the standard deviation is 229 dollars, and the cost is normally distributed. You take a simple random sample of 18 auto insurance policies.Round your answers to 4 decimal places.

What is the distribution ofX?X~ N(,)
What is the distribution ofX?X~ N(,)
What is the probability that one randomly selected auto insurance is more than $1101?
a simple random sample of 18 auto insurance policies, find the probability that the average cost is more than $1101.
For part d), is the assumption of normal necessary?

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