Suppose a basketball player has made 217217 out of 357357 free throws. If the player makes the next 22 free throws, I will pay you $32$⁢32. Otherwise you pay me $21$⁢21. 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.

The expected value would be -$9.022.

Step-by-step explanation:

Since we have given that

Number of throws made by basketball player = 217

Number of free throws = 357

So,

Let X be the amount he lose or win.

X can be $32 or -$21

So, it becomes,

and

So, the expected value would be

Hence, the expected value would be -$9.022.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2