Suppose a basketball player has made 204 out of 409 free throws. if the player makes the next 3 free throws, i will pay you $17. otherwise you pay me $4. 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 921 times how much would you expect to win or lose? round your answer to two decimal places. losses must be entered as negative.

Solution-

The probability of making a single shot is,

The probability of making 3 shot will be,

The probability of not making 3 shot is,

The expected gain for the basketball player will be,

= (Probability of making 3 shots) × ($17) + (Probability of NOT making 3 shots) x (-$4)

So the basketball player is expected to lose, on average, $1.39

If he played this game 921 times how much would you expect to win or lose

So the basketball player is expected to lose $1280.19, if he plays this game 921 times.

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step-by-step explanation: