Question

While playing basketball, Shaquille O’Neal made 58.2% of his field goal attempts during a game and 52.7% of his free throws. Determine the expected value of each of Shaq’s field goal attempts, 2 and 0.

Answer 1

P(outcomes 2) = 0.584

P(outcome 0) = 0.412

Expected value = 1.164

Explanation:

Given the following :

Percentage success of field goal attempt made during a game = 58.2%

Therefore, probability of success = 58.2 / 100 = 0.582

Probability of failure = 1 - P(success)

P(failure) = 1 - 0.582 = 0.412

Upon a successful goal attempt made, 2 points is scored while a miss or failure earns 0 point.

Therefore, Expected value of each of Shaquille O'Neal's goal attempt is:

(2 × 0.582) + (0 × 0.412)

1.164 + 0 = 1.164

Therefore :

P(outcomes 2) = 0.584

P(outcome 0) = 0.412

Expected value = 1.164