A population of values has a normal distribution with = 226.2 and o = 29.8. A random sample of size n = 133 is drawn. a. Find the probability that a single randomly selected value is between 229.6 and 232.7. Round your answer to four decimal places. P(229.6 < X < 232.7) = b. Find the probability that a sample of size n = 133 is randomly selected with a mean between 229.6 and 232.7. Round your answer to four decimal places. P(229.6 < M < 232.7) =

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Chapter1: Combinatorial Analysis
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A population of values has a normal distribution with \( \mu = 226.2 \) and \( \sigma = 29.8 \). A random sample of size \( n = 133 \) is drawn.

a. Find the probability that a single randomly selected value is between 229.6 and 232.7. **Round your answer to four decimal places.**  
\[ P(229.6 < X < 232.7) = \] [Textbox for answer]

b. Find the probability that a sample of size \( n = 133 \) is randomly selected with a mean between 229.6 and 232.7. **Round your answer to four decimal places.**  
\[ P(229.6 < M < 232.7) = \] [Textbox for answer]

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Transcribed Image Text:A population of values has a normal distribution with \( \mu = 226.2 \) and \( \sigma = 29.8 \). A random sample of size \( n = 133 \) is drawn. a. Find the probability that a single randomly selected value is between 229.6 and 232.7. **Round your answer to four decimal places.** \[ P(229.6 < X < 232.7) = \] [Textbox for answer] b. Find the probability that a sample of size \( n = 133 \) is randomly selected with a mean between 229.6 and 232.7. **Round your answer to four decimal places.** \[ P(229.6 < M < 232.7) = \] [Textbox for answer] [Submit Question Button]
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