Agame has 3 possible outcomes, with probabilities p1, p2, and p3. the amount of money that you will win or lose for each outcome is v1, v2, and v3, respectively. what is the expression p1v1 + p2v2 + p3v3 equal to?

We have the following given
p1 - probability for outcome 1
p2 - probability for outcome 2
p3 - probability for outcome 3
v1 - amount of money that you will win or lose for outcome 1
v2 - amount of money that you will win or lose for outcome 2
v3 - amount of money that you will win or lose for outcome 3

Therefore,
p1v1 + p2v2 + p3v3 is the average money you win or lose in playing the game.

The correct option is (D)

Step-by-step explanation:  We are given to select the correct polynomial function that has a leading co-efficient of 1 and roots 2i and 3i with multiplicity 1.

We know that the complex roots of a polynomial function always occur in pairs.

That is, if (a + bi) is a root of a polynomial function P(x), then its conjugate (a - bi) will also be a root of P(x).

Since, 2i and 3i are the roots of the polynomial function, so their conjugates - 2i and - 3i will also be the roots.

Also, we know that if x = a is aroot of a polynomial, then (x - a) is a factor of the polynomial.

Therefore, (x -2i), (x - 3i), (x + 2i) and (x + 3i) are the factors of the given polynomial.

Also, since the leading co-efficient is 1, so the required polynomial will be

Thus, (D) is the correct option.