Earns Less than $60,000 Earns at Least $60,000 and Less than $100,000 Earns at Least $100,000 Male 24% 18% 6% Female 35% 15% 2% (a) What is the probability that the person selected is female and makes less than $60,000? (b) What is the probability that the person selected makes at least $100,000? (c) What is the probability that the person is male or makes less than $60,000?
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.
The table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random.
Earns Less than $60,000 |
Earns at Least $60,000 and Less than $100,000 |
Earns at Least $100,000 |
|
---|---|---|---|
Male | 24% | 18% | 6% |
Female | 35% | 15% | 2% |
(a) What is the probability that the person selected is female and makes less than $60,000?
(b) What is the probability that the person selected makes at least $100,000?
(c) What is the probability that the person is male or makes less than $60,000?
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