CNNBC recently reported that the mean annual cost of auto insurance is 986 dollars. Assume the standard deviation is 238 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 - N( 986 238 b. What is the distribution of ? a - N( 986 40.225 c. What is the probability that one randomly selected auto insurance is more than $978? d. a simple random sample of 35 auto insurance policies, find the probability that the average cost is more than $978. e. For part d), is the assumption of normal necessary? No . Yes Question Help: Message instructor Submit