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

Explanation

We know that a random variable X taking values 0,1,2,…….n is saidd to have a binomial distribution with parameteres n and P, if its probability distribution is given by
`P(X=r)=""^(n)C_(r)p^(r )q^(n-r)`
q=1-p
r=0,1,2,……..,n
Similaly in an experiment of tossing a coin three times, we have been n=3 and random variable X can take values r=0, 1, 3 and 3 with `p=1/2` and `q=1/2`

So, we see that in ithe experiment of tossing a coin three times, we have random variable X which can take value 0,1,2 and 3 with parameters n=3 and `P+1/2`.
Therefore, it is said to have a Binomial distribution.