Probability Distribution and Expected Value Test

Probability Distribution and Expected Value Test

11th - 12th Grade

20 Qs

quiz-placeholder

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Probability Distribution and Expected Value Test

Probability Distribution and Expected Value Test

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

CCSS
HSS.MD.A.3, HSS.MD.A.2, HSS.MD.A.1

+9

Standards-aligned

Created by

Shannettia Pickett

Used 6+ times

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 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

30 sec • 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

5 mins • 1 pt

A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

$12.50
$5
$7.50
$10

Tags

CCSS.7.NS.A.3

4.

MULTIPLE CHOICE QUESTION

5 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

5.

MULTIPLE CHOICE QUESTION

5 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

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwise. Is this a fair game?

yes

no

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

7.

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

Media Image

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
No, all probabilities are not be between 0 and 1 inclusive
No, the sum of all the probabilities is not 1.
Yes, because the distribution is symmetric

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

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