Suppose there is a random variable X which takes the values as $X = {0, 1, 2, 3, 4}$. Each number in this set denotes the total number of wins (head) in a coin game where an unbiased coin is tossed $4$ times. Then $$P(X_i) = (\frac{1}{2})^4, 4*(\frac{1}{2})^4, 6*(\frac{1}{2})^4, 4*(\frac{1}{2})^4, (\frac{1}{2})^4$$
respectively for each $X_i$. Now the mean of this probability distribution table comes out to be $$\sum{P_iX_i} = 2$$
Now my question is, what is the meaning of the above value? Like someone comes to me describes the above same experiment and tells me hey the mean is $2$, what am I supposed to conclude from this?
