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_x p^x  q^n-x.