Answer:
Veronica’s expected value is 2.375.
Step-by-step explanation:
The expected value (EV) can be described as a value that is anticipated for an activity at some point in the future.
The expected value is computed by summing the product of each of the possible outcomes and the probability of occurrence of each outcome.
Therefore, Veronica’s expected value can be determined as follows:
Product of probability of her playing exactly 1 game and 1/16 = 1 * (1/16) = 1 * 0.0625 = 0.0625
Product of probability of her playing exactly 2 games and 1/4 = 2 * (1⁄4) = 2 * 0.25 = 0.50
Product of probability of her playing exactly 3 games and 1/8 = 3 * (1/8) = 3 * 0.125 = 0.375
Product of probability of her playing exactly 4 games and 1/8 = 4 * (1/8) = 4 * 0.125 = 0.50
Product of probability of her playing exactly 5 games and 3/16 = 5 * (3/16) = 5 * 0.1875 = 0.9375
Summing all the above together, we have:
Veronica’s expected value = 0.0625 + 0.50 + 0.375 + 0.50 + 0.9375 = 2.375
Therefore, Veronica’s expected value is 2.375.
