A population of values is normally distributed with μ = 32 and σ = 51.6. a) Find the probability that a single randomly selected value is between 21.3 and 34.4. P(21.3< X < 34.4) = b) If you draw a random sample of size n = 224, then what is the probability the sample mean is between 21.3 and 34.4? P(21.3< X < 34.4) = Enter your answers as numbers accurate to 4 decimal places.

MATLAB: An Introduction with Applications
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A population of values is normally distributed with μ = 32 and a = 51.6.
a) Find the probability that a single randomly selected value is between 21.3 and 34.4.
P(21.3< X < 34.4) =
b) If you draw a random sample of size n = 224, then what is the probability the sample mean is
between 21.3 and 34.4?
P(21.3 < X < 34.4) =
Enter your answers as numbers accurate to 4 decimal places.
Transcribed Image Text:A population of values is normally distributed with μ = 32 and a = 51.6. a) Find the probability that a single randomly selected value is between 21.3 and 34.4. P(21.3< X < 34.4) = b) If you draw a random sample of size n = 224, then what is the probability the sample mean is between 21.3 and 34.4? P(21.3 < X < 34.4) = Enter your answers as numbers accurate to 4 decimal places.
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