CNNBC recently reported that the mean annual cost of auto insurance is 992 dollars. Assume the...

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CNNBC recently reported that the mean annual cost of auto insurance is 992 dollars. Assume the standard deviation is 269 dollars, and the cost is normally distributed. You take a simple random sample of 35 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X-NO b. What is the distribution of ? N c. What is the probability that one randomly selected auto insurance is less than $997? d. a simple random sample of 35 auto insurance policies, find the probability that the average cost is less than $997. e. For part d), is the assumption of normal necessary? Yes No CNNBC recently reported that the mean annual cost of auto insurance is 992 dollars. Assume the standard deviation is 269 dollars, and the cost is normally distributed. You take a simple random sample of 35 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X-NO b. What is the distribution of ? N c. What is the probability that one randomly selected auto insurance is less than $997? d. a simple random sample of 35 auto insurance policies, find the probability that the average cost is less than $997. e. For part d), is the assumption of normal necessary? Yes No