A fair die is rolled four times. A 2 is considered "success" while all other outcomes are failures" Find the probability of 0 successes
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 fair die is rolled four times. A 2 is considered "success" while all other outcomes are failures" Find the
Solution:
Let X be the number of success on fair die
The probability of successes on fair die is
The probability of failure on fair die is
n= 4 number of trial
Here we used binomial distribution because the number of trial n=4 is fixed, the probability of success is constant and trials are independent.
The random variable X has binomial distribution with parameter n= 4 and p=
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