Suppose that we are counting successes in a Bernoulli process with success rate .3. What is the probability that for 12 successes it takes no more than 40 trials but at least 20 trials?
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 that we are counting successes in a Bernoulli process with success rate .3. What is the
A Bernoulli trial is an experiment we conduct which only has 2 possible outcomes (usually called success and failure). An example of a Bernouilli trial is flipping a coin. If we call the occurrence of heads a success, then the flipping of a coin is a typical Bernouilli trial (with the probability of success 0.5 the same as the probability of heads)
A Bernoulli process is a sequence of independent Bernouilli trials. Another important thing to note is that the probability of success in a Bernouilli process is constant throughout.
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