CNNBC recently reported that the mean annual cost of auto insurance is 1001 dollars. Assume the standard deviation is 251 dollars. You take a simple random sample of 56 auto insurance policies. Find the probability that a single randomly selected value is less than 994 dollars. P(X < 994) =  Find the probability that a sample of size n=56n=56 is randomly selected with a mean less than 994 dollars. P(M < 994) =  Enter your answers as numbers accurate to 4 decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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CNNBC recently reported that the mean annual cost of auto insurance is 1001 dollars. Assume the standard deviation is 251 dollars. You take a simple random sample of 56 auto insurance policies.

Find the probability that a single randomly selected value is less than 994 dollars.
P(X < 994) = 

Find the probability that a sample of size n=56n=56 is randomly selected with a mean less than 994 dollars.
P(M < 994) = 

Enter your answers as numbers accurate to 4 decimal places.

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