In a recent year, the scores for the reading portion of a test were normally distributed
In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of
23.9 and a standard deviation of 5.2.
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 16.
The probability of a student scoring less than 16 is ?
(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 20.1 and 27.7.
The probability of a student scoring between 20.1and 27.7 is ?
(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 34.6
The probability of a student scoring more than 34.6 is ?
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A.The event in part ( c ) is unusual because its probability is less than 0.05.
B.The event in part(a) is unusual because its probability is less than 0.05.
C.The events in parts (a) and (b)are unusual because its probabilities are less than 0.05.
D.None of the events are unusual because all the probabilities are greater than 0.05
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