| |
| |
1. |
What is expected value? |
| |
|
A. |
The sum of the products of the probabilities and payoff. |
| |
|
B. |
The product of the sums of the probabilities and payoff. |
| |
|
C. |
The sum of the quotients 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. |
0.56 |
B. |
0.63 |
| |
|
C. |
0.41 |
D. |
0.75 |
| |
|
Hint |
|
| |
3. |
Based on past sweepstakes a company expects 600,000,000 entries. Find the expected values of Sweepstake B shown in the chart. Round to the nearest ten thousandth. |
| |
|
 |
| |
|
A. |
0.0019 |
B. |
0.0036 |
| |
|
C. |
0.0185 |
D. |
0.0142 |
| |
|
Hint |
|
| |
4. |
A Las Vegas company states the probability of winning $60,000 is 0.012, the probability of winning $15,000 is 0.014.and the probability of winning $15,000 is 0.014. What is the expected value? |
| |
|
A. |
1140 |
B. |
90,000 |
| |
|
C. |
50,254 |
D. |
1523 |
| |
|
Hint |
|
| |
5. |
A chess club is thinking of selling magazines as a fundraiser. The company states the probability of making $6,000 is 0.67 and the probability of losing $2500 is 0.27. The company claims that on average any club makes over $5000. Is this claim accurate? Why or why not? |
| |
|
A. |
no; The expected value is under $5000. |
B. |
yes; The expected value was over $5000 |
| |
|
C. |
no; The expected value was over $5000. |
D. |
yes; The expected value is under $5000. |
| |
|
Hint |
|
|
|