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![CNNBC recently reported that the mean annual cost of auto insurance is 1025 dollars. Assume the standard deviation is 170 dollars. You will use a simple random sample of 114 auto insurance policies.
Find the probability that a single randomly selected policy has a mean value between 996.3 and 1034.6 dollars.
\[ P(996.3 < X < 1034.6) = \]
Find the probability that a random sample of size \( n = 114 \) has a mean value between 996.3 and 1034.6 dollars.
\[ P(996.3 < M < 1034.6) = \]
Enter your answers as numbers accurate to 4 decimal places.](https://content.bartleby.com/qna-images/question/a5c9b0d7-cd83-4aaa-83cd-52cefa0d13ad/c5d82efa-460c-4186-b327-4464f5df61ae/cqigmeu_processed.jpeg)
