AP Statistics Formulas (Binomial and Geometric Distributions)

What is the formula for the mean of a binomial distribution?

? = n * p

What is the formula for the standard deviation of a binomial distribution?

? = ?(n
p
p * (1-p))

How do you show the distribution of a binomial distribution?

X ~ B(n, p)

What is the formula for the mean of a geometric distribution?

? = 1/p

What is the formula for the standard deviation of a geometric distribution?

? = ?((p^2)/(1-p))

How do you show the distribution of a geometric distribution?

X ~ g(p)

What are the qualifications of both geometric and binomial distribution?

1. All trials are independent
2. All outcomes have the same probability of occurring.
3. Only two categories- success and failure

What is the defining characteristic of a binomial distribution?

Having a set number of trials.

What is the defining characteristic of a geometric distribution?

Stopping the experiment when the first success occurs.