4.2 - Binomial Distributions

Binomial Experiment

an experiment in which there are exactly two possible outcomes for each trial, a fixed number of independent trials, and the probabilities for each trial are the same

n

number of trials

p

probability of success in a single trial

q

probability of failure in a single trial (1-p)

x

the random variable that represents a count of the number of successes in n trials

success does NOT always mean...

that something good occurred

"at least" "no less than" "minimum of"

x ≥ c

"more than" "greater than" "larger than"

x > c

"fewer than" "less than" "smaller than"

x < c

"no more than" "at most" "maximum of"

x ≤ c

"exactly" "equal to"

x = c