A natural remedy is reputed to boost the immune system, and to prevent respiratory infections. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year X for users of the remedy was produced: X 0 1 2 3 4 P(X) 0.342 0.325 0.204 0.071 0.058 Find the following probabilities: A. A remedy user has more than one infection per year B. A remedy user has no infections per year C. A remedy user has between one and three (inclusive) infections per year
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.
A natural remedy is reputed to boost the immune system, and to prevent respiratory infections. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year X for users of the remedy was produced:
| X | 0 | 1 | 2 | 3 | 4 |
| P(X) | 0.342 | 0.325 | 0.204 | 0.071 | 0.058 |
Find the following probabilities:
A. A remedy user has more than one infection per year
B. A remedy user has no infections per year
C. A remedy user has between one and three (inclusive) infections per year
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