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Explain why the experiment of tossing a coin three times is said to have binomial distribution.
CBSE | Class 12 | Exercise 1 | Maths | NCERT Exemplar | Probability
Explain why the experiment of tossing a coin three times is said to have binomial distribution.

As the random variable X takes

    \[0,1,2,3,......n\]

is said to be binomial distribution having parameters n and p, if the probability is given by

P(X = r) =

    \[^{n}{{C}_{r~}}{{p}^{r~}}{{q}^{n-r}}\]

where

    \[q\text{ }=\text{ }1\text{ }\text{ }p\]

and r =

    \[0,1,2,3,......\]

Similarly, in case of tossing a coin

    \[3\]

 times, we have

n = 3 and X has the values

    \[0,1,2,3\]

 with p =

    \[1/2\]

, q =

    \[1/2\]

.

i

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