Discrete Probability Models

Answer with definition

uniform model

all possible outcomes are equally likely

geometric model

predicts the number of Bernoulli trials required to achieve the first success

binomial model

predicts the number of successes in a fixed number (n) of Bernoulli trials

poisson model

predicts the number of events that occur over a given interval of time

A beer pong player gets a ball in the cup 40% of the time. What is the probability that the player gets the ball in the cup on the third try?

Model?

geometric

A beer pong player gets a ball in the cup 40% of the time. What is the probability that the player makes 2 good shots?

Model?

binomial

A beer pong player drinks 2.3 soft drinks per hour. What is the probability that the player drinks 3 soft drinks in an hour?

Model?

poisson

A section of the road has an average 32 cars per minute go by. What is the probability that between 40 and 50 cars go by in the next minute? Model?

poisson

Venture capital firms: profitable investments = 0.22, investments = 55. What is the probability that at least one is successful? Model?

binomial

Venture capital firms: profitable investments = 0.22, investments = 55. How likely is it that the first successful firm will be #4? Model?

geometric

A company offers internships to 0.31 of applicants. What is the probability that the 5th applicant is the first one to be offered an internship?

Model?

geometric

A restaurant typically gets 4.8 health code violations per an inspection. What is the probability that it will get fewer than two violations on its next inspection?

Model?

poisson

When is a distribution considered normal?

unimodal, symmetric

“per”

poisson model

“at least”

complement rule

number of trials to success

geometric model

all are equally likely

uniform model

number of successes

binomial model