You perform a sequence of independent Bernoulli trials, each having a success probability of 3/4. What is the probability of 15 successes occurring before 5 failures?
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.
You perform a sequence of independent Bernoulli trials, each having a success
The negative binomial probability distribution is,
In the formula, r is the number of successes, n is the number of failures, and p is the probability of success.
The probability of success is .
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