At Southwestern Oregon Community College, a committee is being formed to decide on what kinds of facilities the new Health and Sciences building will include. Many of the campus community want a say in this matter, and 1515 members consisting of faculty, staff, administration, and student government have indicated that they would like to be a part of this committee. However, there are only 55 spots on the committee. Of the 1515 members of the campus community who want to be a part of this committee, 1010 are women and 55 are men. To decide who gets to serve on this committee, the 1515 names will be put into a hat, mixed up, and 55 will be drawn at random. (a) What kind of probability distribution models the probability of that kk women are on the committee? (b) What values can kk possibly be? (c) Write the formula for the probability distribution function for the probability that kk women will serve on the committee.
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.
At Southwestern Oregon Community College, a committee is being formed to decide on what kinds of facilities the new Health and Sciences building will include.
Many of the campus community want a say in this matter, and 1515 members consisting of faculty, staff, administration, and student government have indicated that they would like to be a part of this committee. However, there are only 55 spots on the committee.
Of the 1515 members of the campus community who want to be a part of this committee, 1010 are women and 55 are men.
To decide who gets to serve on this committee, the 1515 names will be put into a hat, mixed up, and 55 will be drawn at random.
(a) What kind of probability distribution models the probability of that kk women are on the committee?
(b) What values can kk possibly be?
(c) Write the formula for the
(d) What is the probability that this committee consists only of women?
(e) What is the probability that this committee consists only of men?
(Note: please describe the methods you used to perform any of your calculations.)
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