A normally distributed population has a mean of 500 and a standard deviation of 45. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 477. b. Determine the probability that a random sample of size 9 selected from the population will have a sample mean greater than or equal to 532. a. P(x<477) = (Round to four decimal places as needed.) b. P(xz 532) = (Round to four decimal places as needed.)

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