CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standard deviation is 229 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( 1050 229 b. What is the distribution of ? X - N( 37.647. V c. What is the probability that one randomly selected auto insurance is less than $1039? 0.4808 d. a simple random sample of 37 auto insurance policies, find the probability that the average cost is less than $1039. Enter an integer or decimal number, accurate to at least 4 decimal places [more.. ] e. For part d), is the assumption of normal necessary? ( No Yes O Question Help: Video Message instructor