CNNBC recently reported that the mean annual cost of auto insurance is 1035 dollars. Assume the standard deviation is 126 dollars. You will use a simple random sample of 142 auto insurance policies. Find the probability that a single randomly selected policy has a mean value between 1012.8 and 1049.8 dollars. P(1012.8

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Chapter1: Combinatorial Analysis
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CNNBC recently reported that the mean annual cost of auto insurance is 1035 dollars. Assume the standard deviation is 126 dollars. You will use a simple random sample of 142 auto insurance policies.

Find the probability that a single randomly selected policy has a mean value between 1012.8 and 1049.8 dollars.

\[ P(1012.8 < X < 1049.8) = \]

Find the probability that a random sample of size \( n = 142 \) has a mean value between 1012.8 and 1049.8 dollars.

\[ P(1012.8 < M < 1049.8) = \]

Enter your answers as numbers accurate to 4 decimal places.
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1035 dollars. Assume the standard deviation is 126 dollars. You will use a simple random sample of 142 auto insurance policies. Find the probability that a single randomly selected policy has a mean value between 1012.8 and 1049.8 dollars. \[ P(1012.8 < X < 1049.8) = \] Find the probability that a random sample of size \( n = 142 \) has a mean value between 1012.8 and 1049.8 dollars. \[ P(1012.8 < M < 1049.8) = \] Enter your answers as numbers accurate to 4 decimal places.
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