List the characteristics of the binomial distribution. Write out the formula/equation of the binomial distribution Write out, in a sentence each, what the two parts of the equation mean (what they are for, what each part does).
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 characteristics of binomial experiment are:
- For each trial, there are only two possible outcomes, success and failure
- The probability of success, p remains the same from trial to trial.
- The trials are independent to each other.
- The number of trials, n is finite.
Binomial distribution:
The binomial distribution gives the probability of number of successes out of n trials in a series of Bernoulli trials.
The probability mass function (pmf) of a binomial random variable X is given as:
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