BINOMIAL DISTRIBUTION-
Binomial distribution is known as Bernoulli distribution is associated with the name of a Swiss mathematician James Bernoulli. Binomial distribution is a probability distribution expressing the probability of one set of dichotomous alternatives .i.e. success or failure. The assumptions are
- An experiment is performed under the same conditions for a fixed number of trials say n.
- In each trial there are two possible outcomes of the experiment. For lack of a better nomenclature they are called success or failure.
- The probability of a success denoted by p remains constant from trial to trial. The probability of a failure denoted by q is equal to (1-p) if the probability of success is not the same n each trial we will not have binomial distribution.
- The trials are statistically independent.
The binomial distribution-
P(r) =
(n-r) r
Nc q p
r
p = probability of success in a single trial
q = (1-p)
n = number of trials
r= number of success
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