CNNBC recently reported that the mean annual cost of auto insurance is 988 dollars. Assume the standard deviation is 250 dollars, and the cost is normally distributed. You take a simple random sample...

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Extracted text: CNNBC recently reported that the mean annual cost of auto insurance is 988 dollars. Assume the standard deviation is 250 dollars, and the cost is normally distributed. You take a simple random sample of 14 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 æ? ¤ ~ N( c. What is the probability that one randomly selected auto insurance is less than $997? d. a simple random sample of 14 auto insurance policies, find the probability that the average cost is less than $997. e. For part d), is the assumption of normal necessary?O Nol U Yes