Binomial and Geometric Distributions-Use Formula Sheet

Front

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

Back

Front

What model should you use if you want a certain number of successes in a set amount of trials?

Back

Binomial model.

Front

What is the probability of exactly 2 successes in 20 trials with a success probability of 0.11?

Back

0.282.

Front

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

Back

Front

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

Back

Front

Define a binomial distribution.

Back

A distribution that models the number of successes in a fixed number of independent Bernoulli trials.

Front

What are the parameters of a binomial distribution?

Back

The number of trials (n) and the probability of success (p).

Front

What is the range of possible values for a binomial random variable?

Back

From 0 to n, where n is the number of trials.

Front

What is the difference between binomial and geometric distributions?

Back

Binomial distributions count successes in a fixed number of trials, while geometric distributions count trials until the first success.

Front

How do you calculate the probability of getting exactly k successes in a binomial distribution?

Back