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CNNBC recently reported that the mean annual cost of auto insurance is 1042 dollars. Assume the standard deviation is 233 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the probability that one randomly selected auto insurance is less than $1084 ? b. a simple random sample of 38 auto insurance policies, find the probability that the average cost is less than $1084. c. For part c), is the assumption of normal necessary? ONoO Yes.

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CNNBC recently reported that the mean annual cost of auto insurance is 1042 dollars. Assume the standard deviation is 233 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the probability that one randomly selected auto insurance is less than $1084 ? b. a simple random sample of 38 auto insurance policies, find the probability that the average cost is less than $1084. c. For part c), is the assumption of normal necessary? ONoO Yes

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