## Binomial, Poisson, and Multinomial Distributions

First, we will talk about binomial probabilities, how to compute their cumulatives, and the mean and standard deviation. Then, we will introduce the Poisson probability formula, define multinomial outcomes, and discuss how to compute probabilities by using the multinomial distribution.

**Question 1 out of 6.**

Select all that apply. Which of the following probabilities can be found using the binomial distribution?

The probability that 3 out of 8 tosses of a coin will result in heads

The probability that Susan will beat Shannon in two of their three tennis matches

The probability of rolling at least two 3's and two 4's out of twelve rolls of a die

The probability of getting a full house poker hand

The probability that all 5 of your randomly-chosen group members will have passed the midterm

The probability that a student blindly guessing will get at least 8 out of 10 multiple-choice questions correct

**Question 2 out of 6.**

You flip a fair coin 10 times. What is the probability of getting 8 or more heads?**Question 3 out of 6.**

The probability that you will win a certain game is 0.3. If you play the game 20 times, what is the probability that you will win at least 8 times?**Question 4 out of 6.**

The probability that you will win a certain game is 0.3. If you play the game 20 times, what is the probability that you will win 3 or fewer times?**Question 5 out of 6.**

The probability that you will win a certain game is 0.3. You play the game 20 times. What is the mean of this binomial distribution?**Question 6 out of 6.**

A biased coin has a .6 chance of coming up heads. You flip it 50 times. What is the variance of this distribution?