In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 21.5 and a standard deviation
of 5.3. 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 20.
The probability of a student scoring less than 20 is 0.3886
(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 15.6 and 27.4.
The probability of a student scoring between 15.6 and 27.4 is
(Round to four decimal places as needed.)