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Marrrta [24]
3 years ago
13

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.
Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer: 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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an urn contains twenty chips, numbered 1 through 20. two are drawn at random simultaneously (without replacement). what is the p
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The probability of the numbers on the two chips differing by more than two are 0.805.

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The study of numerical representations of the possibility of an event occurring or a proposition being true is known as probability. A probability is a number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty.

Given that,

Urn is composed of twenty chips, numbered one through twenty.

Two are drawn at random simultaneously.

The probability that the numbers on the two chips deviate by greater than two.

Probability = 20 x 20 - 20

Probability = 400 – 20

Probability = 380 total possible outcomes for 20 outcomes.

In the first and last rows, we can also observe that there are 20-3 = 17 choices with a difference greater than 2.

In the second and next-to-last rows, there are 20-4 =16 possibilities for a difference greater than 2.

As a result, the total is 2(17) + 2(16) + 2(15) = 306

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The probability of the values on the two chips varying by more than two is 0.805.

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The value of x in the equation is 26. 087

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Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

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