The 0-1 distribution is the case of n=1Binomial distribution。That is, only one event test will be conducted first, and the probability of the event occurring is p, and the probability of not occurring is 1-p.This is the simplest distribution, and there are only two results for any oneRandom phenomenonBoth obey the 0-1 distribution.
, where k=0,1.If p is the probability when k=1 (0<p<1), then X follows the 0-1 distribution, and the 0-1 distribution is also called the two-point distribution, which is recorded as: X~B (x, p)
IfRandom testE meets: repeat a test for n times under the same conditions, and each test has only two results A and, of Event AprobabilityKeep unchanged in each test, P (A)=p, P()=1-p; The results of each test are different from each otherinfluence, thenRandom testE is n timesBernoulliTest.
Distribution law
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A random event X, the occurrence of X is recorded as X=1, and the non occurrence of X is recorded as X=0. If event X obeys the 0-1 distribution, then the distribution law of X is:
That is, only one event test is conducted first, and the probability of the event is p, and the probability of not happening is q=1-p.This is the simplest distribution, and there are only two results for any oneRandom phenomenonFor example, flip a coin to observe the front and back, whether the newborn is male or female, and check whether the product is qualified.[2]