Mathematics: Suppose a basketball player has made 390 out of 434 free throws. if the player makes the next 2 free throws, i will pay you $40.otherwise you pay me $169 step 1 of 2: find the expected value of the proposition. round your answer to two decimal places. losses must be expressed as negative values. step 2 of 2: if you played this game 588 times how much would you expect to win or lose? round your answer to two decimal places. losses must be entered as negative.

Step-by-step explanation:P(9)=0...

Suppose a basketball player has made 390 out - id3904343321117, Amholloway13

Bryson2148

07.01.2022

a) -$0.19, b) -$111.72 .

Step-by-step explanation:

Since we have given that

Number of free throws = 434

Number of throws made by them = 390

Amount for making the next 2 free throws = $40

Amount otherwise he has to pay = $169

a) Find the expected value of the proposition.

Expected value of success in next 2 free throws = $\dfrac{390}{434}\times \dfrac{391}{435}=0.8077$

Expected value would be

$0.8077\times 40+(1-0.8077)\times -169\\\\=32.308-32.4987\\\\=-\$0.19$

b) If you played this game 588 times how much would you expect to win or lose?

Number of times they played the game = 588

So, Expected value would be

$588\times -0.19\\\\=-\$111.72$

Hence, a) -$0.19, b) -$111.72

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