25-08-2017, 09:32 PM
Probability Distribution
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Discrete Probability Distribution
If a random variable is a discrete variable, its probability
distribution is called a discrete probability distribution.
Ex , Suppose if we toss a coin are two times. This simple
experiment can have four possible outcomes: HH, HT, TH, and TT.
Now, let the random variable X represent the number of Heads
that result from this experiment. The random variable X can only
take on the values 0, 1, or 2, so it is a discrete random variable.
Binomial Distribution
It is the theoretical distribution of discrete random variables. It was discovered by mathematician James bernouli.
It is the discrete Probability Distribution.
Assumptions/features of Binomial Distribution
The Binomial Distribution is associated with the name of J.Bernoulli. The features of
Binomial Distribution is as follows:
It is a random process which is performed under the same conditions for a fixed and finite number of trials, say n.
Each trial is independent of other trials, i.e. probability of an outcome for any particular trial is not influenced by the outcomes of the other trials.
Each trial has two possible outcomes, which are mutually exclusive, such as ‘success’ or ‘failure’, ‘good’ or ‘defective’, ‘hit’ or ‘miss’, survive or die.
The probability of success , p , remains constant from trial to trial .
q = The probability of failure, where q = 1-p.
These above conditions will satisfy if we toss a coin.