A population of values has a normal distribution with u = 112.5 and o = 66. A Pahdofm sample UI SI2E 217 is drawn. a. Find the probability that a single randomly selected value is between 101.3 and 112.5. Round your answer to four decimal places. P(101.3 < X < 112.5) : %3D b. Find the probability that a sample of sizen = 217 is randomly selected with a mean between 101.3 and 112.5. Round your answer to four decimal places. P(101.3 < M < 112.5) =

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A population of values has a normal distribution with \( \mu = 112.5 \) and \( \sigma = 66 \). A random sample of size \( n = 217 \) is drawn.

a. Find the probability that a single randomly selected value is between 101.3 and 112.5. **Round your answer to four decimal places.**

\[ P(101.3 < X < 112.5) = \]

b. Find the probability that a sample of size \( n = 217 \) is randomly selected with a mean between 101.3 and 112.5. **Round your answer to four decimal places.**

\[ P(101.3 < M < 112.5) = \]

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Transcribed Image Text:A population of values has a normal distribution with \( \mu = 112.5 \) and \( \sigma = 66 \). A random sample of size \( n = 217 \) is drawn. a. Find the probability that a single randomly selected value is between 101.3 and 112.5. **Round your answer to four decimal places.** \[ P(101.3 < X < 112.5) = \] b. Find the probability that a sample of size \( n = 217 \) is randomly selected with a mean between 101.3 and 112.5. **Round your answer to four decimal places.** \[ P(101.3 < M < 112.5) = \] [Submit Question]
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