lesson 2 - binomial distributions

Question 1

Bernoulli trials

Answer 1

A probability experiment is considered to be a binomial distribution if the experiment consists of Bernoulli Trials.

They consist of:
Are the trials identical?
Trials have to be done the same way each time.
Are the trials independent?
The first outcome of a trial does not impact the next.
Do the trials have two outcomes (success or failure)?
The desired outcome will either happen (success) or not happen (failure)

Question 2

what do p and q represent

Answer 2

p = probability of success q = probability of failure, so p = 1 - q and q = 1 - p

Question 3

binomial distribution probability formula

Answer 3

Binomial distribution probability formula

P(x) = nCx (px) (q n-x)

n = # of trials			p = probability of successes 
x = # of successes 		q = probability of failure

Question 4

binomial distributions expected value

Answer 4

Binomial distribution expected value

E(x) = np where n = number of trials and p = probability of success