AP Statistics Ch 17 Geometric and Binomial prob MU 5 Qs

Front

What is the probability of finding a home with a dog on the fifth house you try if the probability of a home having a dog is 70%?

Back

0.00567

Front

If there are 20 houses in a neighborhood and the probability of a house having a dog is 70%, what is the expected number of houses with dogs?

Back

14

Front

What is the standard deviation of houses with dogs in a neighborhood of 20 houses where the probability of a house having a dog is 70%?

Back

2.05

Front

What is the probability of finding a home with a dog on the third house you try if the probability of a home having a dog is 70%?

Back

0.063

Front

What is the probability of finding 3 out of 5 homes with dogs if the probability of a home having a dog is 70%?

Back

0.3087

Front

Define a geometric probability distribution.

Back

A geometric probability distribution models the number of trials needed to get the first success in a series of independent Bernoulli trials.

Front

What is the formula for calculating the expected value in a binomial distribution?

Back

E(X) = n * p, where n is the number of trials and p is the probability of success.

Front

What is the formula for calculating the variance in a binomial distribution?

Back

Var(X) = n * p * (1 - p), where n is the number of trials and p is the probability of success.

Front

Explain the difference between geometric and binomial distributions.

Back

Geometric distribution focuses on the number of trials until the first success, while binomial distribution counts the number of successes in a fixed number of trials.

Front

What does 'n' represent in the context of binomial probability?

Back

'n' represents the number of trials or experiments conducted.