Binomial distriubiton - probability distribution , Operation Research

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BINOMIAL DISTRIUBITON

This distribution (also known as Bernoulli distribution ) is useful in such an experiment where there are only two outcomes success or failure good defective hit or miss yes or no etc.

Assumption Condition

a.Each trial has two mutually exclusive possible outcomes i. .e, success of failure.

b.Each trail is independent of other trails.

c.The probability of a success (say p) remains constant from trail to trail.

d.The probability of getting a head in a toss of coins is ½ . this result must remain same in successive tosses.

e.The number of trials is fixed.

Theory : If the probability of success in any trial p and that of failure in any trial is q( =1 -p) the probability of success in n independent trails is given by P(x) = f(x)= ⁿc_xp^x q^n-x.

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