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Expected Value

Authored by Erin Jacox

Mathematics

12th Grade

CCSS covered

Used 2+ times

Expected Value
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6

14
4.67
5
7.5

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If the expected value is negative, are you expected to win?

yes
no

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

$1

$0.50

-$0.50

$0

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the mean (expected value) of the probability distribution.

85

83.2

87.1

84.4

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. How much money do you take home (after paying for it)?

$800

-$6.50

-$6

-$5.20

Tags

CCSS.7.EE.B.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Choose an American household at random. What is the expected number of cars for that household?

1.75
1.84
2.00
2.50

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

x               100      200     300    400
P(X=x)       0.1      0.7      0.1     0.1
Find the expected value.

220
230
150
250

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