Question

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

Answer 1

We know that random variable X takes values 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 = 1 – p and r = 0, 1, 2, 3, ...

Similarly in case of tossing a coin 3 times,

n = 3 and X has the values 0, 1, 2, 3 with p = `1/2`, q = `1/2`.

Hence, it is said to have a binomial distribution.