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Probability Distribution Expected Value

Authored by Anthony Clark

Mathematics

12th Grade

Used 1+ times

Probability Distribution Expected Value
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

0.45
0.65
1.00
1.44

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Box A
Box B
Box A or B, but not C
All boxes offer the same expected winnings

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine which of the following distribution is NOT a probability distribution.

A

B

C

D

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

31.8

15.68

0.20

1.00

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At Tucson Raceway Park, your horse, has a 1/20 probability of of coming in first place, a probability of 1/10 of coming in second place, and a probability of 1/4 of coming in third place. First place pays $4500 to the winner, second place $3500, and third place $1500. Is it worthwhile to enter the race if it costs $1000?

No, it is expected that you will lose money

Yes, it is expected that you will win money

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Your company plans to invest in a particular project. There is a 35% chance that you will lose $30,000, a 40% chance that you will break even and a 25% chance that you will make $55,000. Based solely on this information, what should you do?

Invest! You expected to make $3,250.40

Do NOT Invest! You expected to lose $3,250.40

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A grab bag contains 12 packages worth 80 cents apiece, 15 packages worth 40 cents apiece and 25 packages worth 30 cents apiece. Is it worthwhile to pay 50 cents for the privilege of picking one of the packages at random? (HINT: Make a probability distribution - there are 52 total packages)

No, you expect to lose $0.06

Yes, you expect to win $0.06

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