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In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with...

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) dash –​(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 .1736 . ​(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 511. ​(Round to four decimal places as​ needed.)

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