Term
Binomial probability distribution |
|
Definition
A discrete probability distribution that describes probabilities for experiments in which there are mutually exclusive outcomes |
|
|
Term
2 common outcomes of binomial probability distribution |
|
Definition
|
|
Term
4 criteria for a binomial experiment |
|
Definition
1. Performed a fixed number of times 2. The trials are independent 3. The outcome of each trial has 2 possible mutually exclusive outcomes 4. The probability of success is the same for each trial |
|
|
Term
|
Definition
A repetition in an experiment |
|
|
Term
X, binomial random variable |
|
Definition
The number of successes in n trials of a binomial experiment |
|
|
Term
|
Definition
Independent trials of the experiment |
|
|
Term
|
Definition
The probability of success for each trial; 1-p is the probability of failure |
|
|
Term
Binomial probability distribution function, P(x) = |
|
Definition
nCx p^x(1-p)^n-x where x = 0, 1, 2,…., n |
|
|
Term
Cumulative distribution function (cdf) |
|
Definition
Computes probabilities less than or equal to a specified value |
|
|
Term
Mean/Expected value of a binomial random variable, mewx = |
|
Definition
|
|
Term
Standard deviation of a binomial random variable, sigmax = |
|
Definition
|
|
Term
For a fixed p, as the number of trails n in a binomial experiment increases |
|
Definition
The probability distribution of the random variable X becomes bell-shaped |
|
|