Statistical Literacy At State College all classes start on the hour, with the ear- liest start time at 7 A.M. and the latest at 8 P.M. A random sample of freshmen showed the percentages preferring the listed start times. Start Time 7 or 8 A.M. 9,10,or 11A.M. 12 or 1 P.M. 1 P.M., or later after 5 P.M., % preferring 10% 35% 28% 25% 15% Can this information be used to make a discrete probability distribution? Explain.

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4. Can this information be used to make a discrete probability distribution ?

your answer.
(а)
1
2
(b)
1
2
P(x)
0.25
0.60
0.15
P(x)
0.25
0.60
0.20
4.| Statistical Literacy At State College all classes start on the hour, with the ear-
liest start time at 7 A.M. and the latest at 8 P.M. A random sample of freshmen
showed the percentages preferring the listed start times.
Start Time
7 or 8 A.M.
9,10,or 11A.M.
12 or 1 P.M.
1 P.M., or later
after 5 P.M.,
% preferring
10%
35%
28%
25%
15%
Can this information be used to make a discrete probability distribution?
Explain.
5.| Statistical Literacy Consider two discrete probability distributions with the
same sample space and the same expected value. Are the standard deviations
of the two distributions necessarily equal? Explain.
ved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from he elook andior oChaperts)
does not materially affect the overall leaning expericnce. Cengage Lcaming reserves the right to remove additional conte at at any time if subsequcnt rights aostictions copuire i
Transcribed Image Text:your answer. (а) 1 2 (b) 1 2 P(x) 0.25 0.60 0.15 P(x) 0.25 0.60 0.20 4.| Statistical Literacy At State College all classes start on the hour, with the ear- liest start time at 7 A.M. and the latest at 8 P.M. A random sample of freshmen showed the percentages preferring the listed start times. Start Time 7 or 8 A.M. 9,10,or 11A.M. 12 or 1 P.M. 1 P.M., or later after 5 P.M., % preferring 10% 35% 28% 25% 15% Can this information be used to make a discrete probability distribution? Explain. 5.| Statistical Literacy Consider two discrete probability distributions with the same sample space and the same expected value. Are the standard deviations of the two distributions necessarily equal? Explain. ved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from he elook andior oChaperts) does not materially affect the overall leaning expericnce. Cengage Lcaming reserves the right to remove additional conte at at any time if subsequcnt rights aostictions copuire i
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Consider a random variable x with probability distribution of p(x). Now, p(x) is said to be a valid probability distribution if p(x) ≥ 0 and Σp(x) = 1.

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