Binomial Distribution (1)

Bernoulli trial

An experiment that produces only two possible outcomes

Binomial experiment (1)

An experiment which is made up of n similar Bernoulli trials

Binomial distribution

A probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials

Probability of success

Denoted by p

Probability of failure

q=1−p

Parameters of the binomial distribution

The number of trials n, the probability of success p, and the number of successes, k in n trials

Cumulative binomial probability

The probability of obtaining up to k successes in n trials and is calculated by summing the individual probabilities of k or fewer successes

Bernoulli trials

Experiments with only two possible outcomes: success (typically denoted as 1) and failure (denoted as 0)

Normal approximation

For large values of n and moderate values of p, the binomial distribution can be approximated by a normal distribution

Limitations of binomial distribution

Assumes independence between trials and a fixed probability of success