CNNBC recently reported that the mean annual cost of auto insurance is 1023 dollars. Assume the standard deviation is 218 dollars. You take a simple random sample of 52 auto insurance policies. Find...

CNNBC recently reported that the mean annual cost of auto insurance is 1023 dollars. Assume the standard deviation is 218 dollars. You take a simple random sample of 52 auto insurance policies.


Find the probability that a single randomly selected value is at least 969 dollars.

P(X > 969) =


Find the probability that a sample of size n=52n=52 is randomly selected with a mean that is at least 969 dollars.

P(M > 969) =


Enter your answers as numbers accurate to 4 decimal places.