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 22.2 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 21.
The probability of a student scoring less than 21 is ( )
(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 17.8 and 26.6.
The probability of a student scoring between 17.8 and 26.6 is ( )
(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 35.3.
The probability of a student scoring more than 35.3 is ( )
(Round to four decimal places as needed.)
d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A.
None of the events are unusual because all the probabilities are greater None of the events are unusual because all the probabilities are greater than 0.05.
B.
The event in part left parenthesis a right parenthesis (a) is unusual because its probability is less than 0.05.
C.
The event in part left parenthesis c right parenthesis is unusual because its probability is lessThe event in part (c) is unusual because its probability is less than 0.05.
D.
The events in parts left parenthesis a right parenthesis and left parenthesis b right parenthesis(a) and (b) are unusual because its probabilities are less than 0.05.
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