Psychologists tend to believe that there is a relationship between aggressiveness and order of birth. To test this belief, a psychologist chose 764 elementary school students at random and administered each test designed to measure the student's aggressiveness. Each student was classified according to one of four categories. The number of students falling in the four categories is shown in the following table. Table for classification of students: Firstborn Not Firstborn Aggressive 94 83 Not aggressive 236 351 If one student is chosen at random from this group, the probability that the student is aggressive given the student is firstborn is ?
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.
Psychologists tend to believe that there is a relationship between aggressiveness and order of birth. To test this belief, a psychologist chose 764 elementary school students at random and administered each test designed to measure the student's aggressiveness. Each student was classified according to one of four categories. The number of students falling in the four categories is shown in the following table.
Table for classification of students:
Firstborn | Not Firstborn | |
Aggressive | 94 | 83 |
Not aggressive | 236 | 351 |
If one student is chosen at random from this group, the
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