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In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.2 and a standard deviation

In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.2 and a standard deviation of 5.1. Complete parts (a) through (d) below.

(a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 17.

(b) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is between 13.0 and 27.4

(c) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is more than 30.9.

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