In a day care center each child takes three classes and either passes or fails each class. The grades are shown in the table below. P represents a passed class, and F represents a failed class. Let X represent the number of classes failed by a child. Construct a probability distribution for X. Arrange x in increasing order and write the probabilities P(x) as simplified fractions. Child Grades Child 1 PFP Child 2 PPF Child 3 FFP Child 4 PPP Child 5 PFP Child 6 PPF Child 7 FPF Child 8 PPP
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.
In a day care center each child takes three classes and either passes or fails each class. The grades are shown in the table below. P represents a passed class, and F represents a failed class. Let X represent the number of classes failed by a child. Construct a
| Child | Grades |
|---|---|
| Child 1 | PFP |
| Child 2 | PPF |
| Child 3 | FFP |
| Child 4 | PPP |
| Child 5 | PFP |
| Child 6 | PPF |
| Child 7 | FPF |
| Child 8 | PPP |
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