CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the standard deviation is 252 dollars, and the cost is normally distributed. You take a simple random sample of 36 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 ? - N c. What is the probability that one randomly selected auto insurance is less than $1020? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1020. e. For part d), is the assumption of normal necessary? No Yes

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