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 10.5. Answer parts (a)–​(d) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 490.   The probability that a randomly selected medical student who took the test had a total score that was less than 490 is 0.17100.1710   (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

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