Chapter 17 Binomial Distribution

Question 1

What is the expectation of the number of successes in a binomial distribution B(n, p)?

Answer 1

The expectation is np.

Question 2

How is the probability that the number of successes, X, has the value r expressed?

Answer 2

It is given by P(X= r).

Question 3

What is the relationship between the probabilities of success and failure in a binomial distribution?

Answer 3

The probabilities of success (p) and failure (q) have a fixed relationship: p + q = 1.

Question 4

What are the two possible outcomes in a binomial distribution?

Answer 4

The two possible outcomes are often referred to as success and failure.

Question 5

What does conducting trials on random samples of size n imply in a binomial distribution?

Answer 5

It implies that you are performing n independent trials.

Question 6

What is the binomial distribution B(n, p) used to model?

Answer 6

It is used to model situations where there are two possible outcomes in each trial.

Question 7

What is necessary to calculate probabilities in a binomial distribution?

Answer 7

You need to use the binomial formula.

Question 8

What are the assumptions needed to use a Binomial Distribution?

Answer 8

Each trial only has two possible outcomes.
The probability of success is the same for each trial.
Each trial is independent.
You are conducting trials on random samples.