CNNBC recently reported that the mean annual cost of auto insurance is 1016 dollars. Assum the standard deviation is 292 dollars, and the cost is normally distributed. You take a simple random of 38...

CNNBC recently reported that the mean annual cost of auto insurance is 1016 dollars.  Assum the standard deviation is 292 dollars, and the cost is normally distributed.  You take a simple random of 38 auto insurance policies.  What is the probability that one randomly selected auto insurance is more than $1049?

A simple random sample of 38 auto insurance policies, find the probability that the average cost is more than $49.  Is the assumption of normal necessary?  Yes or No.