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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
4. Can this information be used to make a discrete
![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.
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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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