In 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.       Question content area bottom 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 0.20380.2038. ​(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 0.40460.4046. ​(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 0.02030.0203. ​(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.   D. The event in part (c) is unusual because its probability is less than 0.05.

MATLAB: An Introduction with Applications
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In 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.
 
 
 

Question content area bottom

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
0.20380.2038.
​(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
0.40460.4046.
​(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
0.02030.0203.
​(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.
 
D.
The event in part (c) is unusual because its probability is less
than 0.05.
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