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Contact [7]
3 years ago
14

A game has 3 possible outcomes, with probabilities p1, p2, and p3. The amount of money that you will win or lose for each outcom

e is v1, v2, and v3, respectively. What is the expression p1v1 + p2v2 + p3v3 equal to?
The total amount you will win (or lose) in the long run.

The average amount you will win (or lose) per game in the long run.

The exact amount you will win (or lose) per game.

The amount that you will win (or lose) for 3 games.
Mathematics
2 answers:
3241004551 [841]3 years ago
4 0

That expression is the expected value of your winnings, or "the average amount you will win (or lose) per game in the long run".

algol133 years ago
3 0

Answer:

Step-by-step explanation:

Given that a game has 3 possible outcomes, with probabilities p1, p2, and p3

The amount win or lose for each outcome is v1, v2, and v3, respectively.

If X is the amount of win or lose then x has the following prob distribution

X      v_1       v_2      v_3\\Pr.    p_1       p_2     p_3\\

Hence Expected value of x = average of x

=p1v1 + p2v2 + p3v3

Thus answer is

Option b) The average amount you will win (or lose) per game in the long run.

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Answer:

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3 years ago
Billy is hiking in Colorado. He walks eastward four miles, then turns $60$ degrees northward and walks six miles. How far is he
nikklg [1K]

He is  2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles  eastward and 3√ 3 miles northward.

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1 year ago
Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

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The interest earned is calculated as follows:

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Substituting:

\displaystyle P=\frac{170}{0.048*5/12}

\displaystyle P=\frac{170}{0.02}=8,500

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