The number of times that a person has a cold each year is a Poisson random variable with parameter λ = 5. Suppose that a new drug has been developed that reduces this to λ = 3, but that the drug only works for 75% of the population. For the remaining 25% of the population there is no effect. A person takes the drug for an entire year. During the year the person had 2 colds. What is the probability that the drug had an effect on this person?
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 number of times that a person has a cold each year is a Poisson random variable with parameter λ = 5. Suppose that a new drug has been developed that reduces this to λ = 3, but that the drug only works for 75% of the population. For the remaining 25% of the population there is no effect. A person takes the drug for an entire year. During the year the person had 2 colds. What is the probability that the drug had an effect on this person?
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