n a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a mean of 20.3 and a standard deviation of 6.3. Complete parts​ (a) through​ (d) below.

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n a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a mean of
20.3
and a standard deviation of
6.3.
Complete parts​ (a) through​ (d) below.
 
 
 
 

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Part 1
​(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
enter your response here.
​(Round to four decimal places as​ needed.)
Part 2
​(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
13.8
and
26.8.
 
The probability of a student scoring between
13.8
and
26.8
is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 3
​(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
33.5.
 
The probability of a student scoring more than
33.5
is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 4
​(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
than 0.05.
 
B.
The events in parts
(a) and (b)
are unusual because its probabilities are less than 0.05.
 
C.
The event in part
(a)
is unusual because its probability is less than 0.05.
 

 

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