coin with two sides - H and T, 6 times. Suppose the probability of getting a heads is 1/3. Let X be random variable that takes value 1 if there are even number of heads in a trial, and takes the value zero if there are odd number of heads in a trial. Then, X is a Bernoulli Random variabl
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.
Suppose a trial consists of tossing a coin with two sides - H and T, 6 times. Suppose the probability of getting a heads is 1/3.
Let X be random variable that takes value 1 if there are even number of heads in a trial, and takes the value zero if there are odd number of heads in a trial.
Then, X is a Bernoulli Random variable with
P ( Success ) = P ( Y = 0 ) + P ( Y = 2 ) + P ( Y = 4 ) + P ( Y = 6 ) ,
where Y is the Binomial random variable with parameters n=6, p=1/3.
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