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  5. Unit 4: Expected Value, Binomial Distribution, Continuous X

Unit 4: Expected Value, Binomial Distribution, Continuous X

Authored by Ms. Sigrid Gulbis

Mathematics

9th - 12th Grade

CCSS covered

Used 17+ times

Unit 4: Expected Value, Binomial Distribution, Continuous X
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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

What is the area of this probability distribution?

1

2

100

1.4

2.

MULTIPLE CHOICE QUESTION

3 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

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is false about binomial probabilities?

Their distributions are approximately symmetric.
Trials must be fixed.
Events musts be independent.
The probability of success must be 0.50

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

4.

MULTIPLE CHOICE QUESTION

3 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

5.

MULTIPLE CHOICE QUESTION

3 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 SELECT QUESTION

3 mins • 1 pt

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

Yes

No, the trials are not independent.

No, there are more than 2 outcomes

7.

MULTIPLE CHOICE QUESTION

3 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. What is the expected amount you win?

$0.00

-$1.00

$1.00

$3.00

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