Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
The probability that he makes the next 2 free throws is:
The payout rules are:
- If the player makes the next 2 free throws, I will pay you $38.
- Otherwise you pay me $50.
Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
Thus, the expected value of the proposition is -$0.76.