CNNBC recently reported that the mean annual cost of auto insurance is 956 dollars. Assume the standard deviation is 280 dollars, and the cost is normally distributed. You take a simple random sample...

Extracted text: CNNBC recently reported that the mean annual cost of auto insurance is 956 dollars. Assume the standard deviation is 280 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 distribution of X? X - N( b. What is the distribution of T? T - N( c. What is the probability that one randomly selected auto insurance is more than $906? d. a simple random sample of 38 auto insurance policies, find the probability that the average cost is more than $906. e. For part d), is the assumption of normal necessary? O YesO No