Answer:
$4
Explanation:
A geometric distribution is commonly known as a probability distribution that is used for the total number of Bernoulli trials computed till there is a successful trial. Therefore:
If X is the toss with the first head, then, it is a geometric distribution with p = 0.5. The payable amount (A) will be:
[tex]A = E(X^{2})[/tex] = (1+0.5)/(0.5)^2 = 1.5/0.25 = 6
If $10 is used to play the game, the loss will be 10-6 = $4 per game.
