Answer:
$3.10.
Explanation:
You get the expected value by multiplying the payout by the probability, then adding them all up.
So...
(0 * 0.45) + (4 * 0.3) + (6 * 0.1) + (8 * 0.1) + (10 * 0.05) = 0 + 1.2 + 0.6 + 0.8 + 0.5 = 1.8 + 1.3 = 3.1
So, the expected value of the winnings from a game with the payout probability distribution is $3.10.
Hope this helps!