## Question

###### CNNBC recently reported that the mean annual cost of auto insurance is 1026 dollars. Assume the standard deviation is 242 dollars. You take a simple random sample of 89 auto insurance policies_Find the probability that a single randomly selected value is at least 975 dollars. P(X 975)Find the probability that a sample of size n 89 is randomly selected with a mean that is at least 975 dollars_ P(M 975)Enter your answers as numbers accurate to 4 decimal places_

CNNBC recently reported that the mean annual cost of auto insurance is 1026 dollars. Assume the standard deviation is 242 dollars. You take a simple random sample of 89 auto insurance policies_ Find the probability that a single randomly selected value is at least 975 dollars. P(X 975) Find the probability that a sample of size n 89 is randomly selected with a mean that is at least 975 dollars_ P(M 975) Enter your answers as numbers accurate to 4 decimal places_

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