CNNBC recently reported that the mean annual cost of auto insurance is 1024 dollars. Assume the standard deviation is 267 dollars, and the cost is normally distributed. You take a simple random sample of 10 auto insurance policies. Round your answers to 4 decimal places.

1. What is the distribution of XX? XX ~ N(,)
2. What is the distribution of xx? xx ~ N(,)
3. What is the probability that one randomly selected auto insurance is more than $1100?
4. a simple random sample of 10 auto insurance policies, find the probability that the average cost is more than $1100.
5. For part d), is the assumption of normal necessary? NoYes