A population of values has a normal distribution with = 213.5 and o=97.5. A random sample of size n = 117 is drawn. Find the probability that a sample of size n = 117 is randomly selected with a mean less than 205.4. Round your answer to four decimal places. P(M < 205.4) =

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A population of values has a normal distribution with \( \mu = 213.5 \) and \( \sigma = 97.5 \). A random sample of size \( n = 117 \) is drawn. Find the probability that a sample of size \( n = 117 \) is randomly selected with a mean less than 205.4. *Round your answer to four decimal places.*

\[ P(M < 205.4) = \underline{\quad\quad} \]
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 213.5 \) and \( \sigma = 97.5 \). A random sample of size \( n = 117 \) is drawn. Find the probability that a sample of size \( n = 117 \) is randomly selected with a mean less than 205.4. *Round your answer to four decimal places.* \[ P(M < 205.4) = \underline{\quad\quad} \]
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