A normally distributed population has a mean of 450 and a standard deviation of 45. a. Determine the probability that a random sample of size 9 selected from this population will have a sample mean less than 430. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 469. a. P(x<430) = (Round to four decimal places as needed.) b. P(x ≥ 469) = (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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A normally distributed population has a mean of 450 and a standard deviation of 45.
a. Determine the probability that a random sample of size 9 selected from this population will have a sample mean less than 430.
b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to
469.
a. P(x<430) =
(Round to four decimal places as needed.)
b. P(x≥ 469) =
(Round to four decimal places as needed.)
Transcribed Image Text:A normally distributed population has a mean of 450 and a standard deviation of 45. a. Determine the probability that a random sample of size 9 selected from this population will have a sample mean less than 430. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 469. a. P(x<430) = (Round to four decimal places as needed.) b. P(x≥ 469) = (Round to four decimal places as needed.)
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