Shared Flashcard Set

Details

S6.2 - The Binomial Probability Distribution
The Binomial Probability Distribution
12
Mathematics
Graduate
11/06/2013

Additional Mathematics Flashcards

 


 

Cards

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
1. Success
2. Failure
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
Trial
Definition
A repetition in an experiment
Term
X, binomial random variable
Definition
The number of successes in n trials of a binomial experiment
Term
n
Definition
Independent trials of the experiment
Term
p
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
np
Term
Standard deviation of a binomial random variable, sigmax =
Definition
np(1-p)^0.5
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
Supporting users have an ad free experience!