Question

suppose you have an experiment where you toss a Fair coin three times you didn't count the number of heads of deserve over those three tosses use this experiment to address each of the following question round solution to three decimal places

Answer 1

In this experiment, the number of heads X is a binomial random variable:

$X\sim B(0.5,3)$

The number of heads can range from 0 to 3, so the sample space for X is {0, 1, 2, 3}.

The associated probability of each outcome correspond to the binomial probability:

$P(X=k)=\binom{n}{k}p^k(1-p)^{n-k}$

Then, we can calculate