Q. 65.0( 1 Vote )

Explain why the experiment of tossing a coin three times is said to have binomial distribution.

Answer :


Let p and q denote the events of failure and success, respectively.


We know that, a random variable X (=0,1, 2,…., n) is said to have Binomial parameters n and p, if its probability distribution is given by



Where, q = 1-p


And r =0,1,2,…..n


In an experiment of tossing a coin three times, we have n=3 and random variable X can take values r =0,1,2 and 3 with and



So, we see that in the experiment of tossing a coin three times, we have random variable X which can take values 0,1,2 and 3 with parameters n=3 ad


Hence tossing of a coin 3 times is a Binomial distribution.


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