The Binomial Distribution

def of binomial distribution

a discrete probability distribution that addresses experiments or processes that can result in only one of 2 mutually exclusive outcomes

3 criteria to meet a binomial distribution

1. the number of trials are fixed and independent

2. each trial results in one of two possible, mutually exclusive outcomes (success and failure)

3. the probability of a success and the probability of a failure remain constant from trial to trial

justify that a circumstance is binomial

do it please

Binomial distribution formula

n=

number of trials

x=

number of successes among n trials

p=

probability of a “success” on any given trial

q is the

probability of a failure on any given trial

how do you find q?

1-p

do a binomial example

come on now, do it

do an (at least) binomial example

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Additional wording- (more than 3)

P(x>3) P(x=4)

Additional wording (less than 2)

P(x<2) = P(x=0) + P(x=1)

Additional wording (at most 1)

P(x≤ 1) = P(x=0) + P(x=1)