4.2 Binomial Distributions

Question 1

Binomial Experiment (Bernoulli experiment)

Answer 1

1. Experiment is repeated for a fixed number of independent trials.
2. There are only two possible outcomes for each trial: success and failure.
3. The probability of success is the same for each trial.
4. The random variable, x counts the number of successful trials.

Question 2

Notations

Answer 2

n = # of times a trial is repeated
p = probability of success
q = probability of failure
q = 1 - p
x = random variable

Question 3

Population parameters of a Binomial Distribution

Answer 3

Mean = μ = np
variance = σ2 = npq
standard variance = σ = √npq