CNNBC recently reported that the mean annual cost of auto insurance is 1026 dollars. Assume the standard deviation is 298 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. ✓298 a. What is the distribution of X? X-N( 1026 b. What is the distribution of ? N 1026 c. What is the probability that one randomly selected auto insurance is less than $1010? d. a simple random sample of 38 auto insurance policies, find the probability that the average cost is less than $1010. e. For part d), is the assumption of normal necessary? Yes No o

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