1.
What is expected value?
A.
The sum of the products of the probabilities and payoff.
B.
The sum of the quotients of the probabilities and payoff.
C.
The product of the sums of the probabilities and payoff.
D.
The difference of the products of the probabilities and payoff.
Hint
2.
Based on past sweepstakes a company expects 180,000 entries. Find the expected values of sweepstake A shown in the chart. Round to the nearest hundredth.
A.
0.41
B.
0.56
C.
0.75
D.
0.63
Hint
3.
Based on past sweepstakes a company expects 10,000 entries. Find the expected values of Sweepstake C shown in the chart. Round to the nearest ten thousandth.
A.
0.84
B.
2.04
C.
0.22
D.
0.36
Hint
4.
Two children are playing with a bag of four marbles. One is white, 2 are blue and 1is red. Each child takes a marble from the bag. The child with a blue marble receives 2 points. Otherwise the child loses one point. Is the game fair? Why or why not?
A.
yes; The expected value does not equal zero.
B.
no; The expected value does not equal zero.
C.
no; The expected value is equal to zero.
D.
yes; The expected value is equal to zero.
Hint
5.
Two children are playing with a bag of four marbles. One is white, 2 are blue and 1is red. Each child takes a marble from the bag. The child with a red marble receives 3 points. Otherwise the child loses one point. Is the game fair? Why or why not?
A.
yes; The expected value is equal to zero.
B.
yes; The expected value does not equal zero.
C.
no; The expected value does not equal zero.
D.
no; The expected value is equal to zero.
Hint