# In a recent​ year, the scores

In a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a mean of 22.3 and a standard deviation of 5.8. 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 nothing.
​(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 18.7 and 25.9.
The probability of a student scoring between 18.7 and 25.9 is nothing.
​(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 34.2.
The probability of a student scoring more than 34.2 is nothing.
​(Round to four decimal places as​ needed.)
​(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.
None of the events are unusual because all the probabilities are greater than 0.05.
D.
The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.

# In a recent​ year, the scores

In a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a mean of 21.4 and a standard deviation of 6.9. 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 nothing.
​(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 14.6 and 28.2.
The probability of a student scoring between 14.6 and 28.2 is nothing.
​(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 35.8.
The probability of a student scoring more than 35.8 is nothing.
​(Round to four decimal places as​ needed.)
​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A.
The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.
B.
None of the events are unusual because all the probabilities are greater than 0.05.
C.
The event in part (c) is unusual because its probability is less than 0.05.
D.
The event in part (a) is unusual because its probability is less than 0.05.

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