In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.9 and a standard deviation of 6.3. Complete parts (a) through (d) below. ..... (a) Find the...

Extracted text: In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.9 and a standard deviation of 6.3. 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. The probability of a student scoring less than 17 is 0.1745 . (Round to four decimal places as needed.) (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 15.0 and 30.8. The probability of a student scoring between 15.0 and 30.8 is 0.7901 (Round to four decimal places as needed.) (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 35.9. The probability of a student scoring more than 35.9 is (Round to four decimal places as needed.)