In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.6. Answer parts (a) through (c) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 492. The probability that a randomly selected medical student who took the test had a total score that was less than 492 is (Round to four decimal places as needed.) (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 499 and 514. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 514 is (Round to four decimal places as needed.) (c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 524.

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