6.2 Binomial Distribution

What can the random variable X be defined as?

The number of successful trials

What makes a binomial distribution, B(n,p)?

• There are a fixed number of trials, n

• There are two possible outcomes (success and failure)

• There is a fixed probability of success, p

• The trials are independent from each other

What is the probablity mass function of a binomial distribution?

ⁿCr × p^r × (1 - p)ⁿ⁻^r

How to write the model of a binomial distribution?

X ∼ B(n,p)