. Find the probability that a single randomly selected value is between 62.4 and 64.4. Round your answer to four decimal places. P(62.4 < X < 64.4) = . Find the probability that a randomly selected sample of size n = 60 has a mean between 62.4 and 64.4. Round your answer to four decimal places.

MATLAB: An Introduction with Applications
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A population of values has a normal distribution with \( \mu = 58.2 \) and \( \sigma = 40.3 \).

a. Find the probability that a single randomly selected value is between 62.4 and 64.4.  
*Round your answer to four decimal places.*

\[ P(62.4 < X < 64.4) = \]

b. Find the probability that a randomly selected sample of size \( n = 60 \) has a mean between 62.4 and 64.4.  
*Round your answer to four decimal places.*

\[ P(62.4 < M < 64.4) = \]
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 58.2 \) and \( \sigma = 40.3 \). a. Find the probability that a single randomly selected value is between 62.4 and 64.4. *Round your answer to four decimal places.* \[ P(62.4 < X < 64.4) = \] b. Find the probability that a randomly selected sample of size \( n = 60 \) has a mean between 62.4 and 64.4. *Round your answer to four decimal places.* \[ P(62.4 < M < 64.4) = \]
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