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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 10.7.
(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 487.
The probability that a randomly selected medical student who took the test had a total score that was less than 487 is 0.1125.
(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 497 and 510.
The probability that a randomly selected medical student who took the test had a total score that was between 497 and 510 is 0.4349 .
(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 525.
The probability that a randomly selected medical student who took the test had a total score that was more than 525 is

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