Mathematics, 19.10.2021 16:00 tmgoddess2004

CNNBC recently reported that the mean annual cost of auto insurance is 1003 dollars. Assume the standard deviation is 282 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( 1003 282 OOM
b. What is the distribution of X? X-NC 1003 45.746)
c. What is the probability that one randomly selected auto insurance is more than $959?
d. a simple random sample of 38 auto insurance policies, find the probability that the average
cost is more than $959.

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