In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts below. Purchased Gum Kept the Money Students Given Four Quarters 33 13 Students Given a $1 Bill 15 30 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. c. What do the preceding results suggest?choose below A. A student given four quarters is more likely to have kept the money than a student given a $1 bill. B. A student given four quarters is more likely to have kept the money. C. A student given four quarters is more likely to have spent the money than a student given a $1 bill. D. A student given four quarters is more likely to have spent the money.
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.
|
|
Purchased Gum
|
Kept the Money
|
|
|---|---|---|---|
|
Students Given Four Quarters
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33
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13
|
|
|
Students Given a $1 Bill
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15
|
30
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a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.
b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.
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