CNNBC recently reported that the mean annual cost of auto insurance is 1027 dollars. Assume the standard deviation is 237 dollars, and the cost is normally distributed. You take a simple random sample of 37 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X ~ N( 1027 237 of 1027 237 b. What is the distribution of c? ~ ~ N( 1027 38.96256 1027 38.9626 c. What is the probability that one randomly selected auto insurance is less than 5974? d. a simple random sample of 37 auto insurance policies, find the probability that the average cost is less than $974