Explanation Given Information: The probability distribution is, x − 20 − 10 0 10 20 30 P ( X = x ) 0.2 0.4 0.2 0.1 0 0.1 Formula used: The expected value is calculated as follows: E ( X ) = ∑ i = 1 n x i ⋅ P ( X = x i ) Calculation: Consider the probability distribution, x − 20 − 10 0 10 20 30 P ( X = x ) 0.2 0.4 0.2 0.1 0 0.1 Calculate the value of x ⋅ P ( X = x ) for X = − 20 , x ⋅ P ( X = x ) = − 20 ⋅ ( 0.2 ) = − 4 Calculate the value of x ⋅ P ( X = x ) for X = − 10 , x ⋅ P ( X = x ) = − 10 ⋅ ( 0

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Question

Chapter 9.3, Problem 16E

To determine

To calculate: The expected value of X for the given probability distribution.

x

−20

−10

0

10

20

30

P(X=x)

0.2

0.4

0.2

0.1

0

0.1

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Chapter 9.3, Problem 15E

Chapter 9.3, Problem 17E

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Chapter 9 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

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The expected value of X for the given probability distribution. x − 20 − 10 0 10 20 30 P ( X = x ) 0.2 0.4 0.2 0.1 0 0.1

Solution Summary: The author calculates the expected value of X for the given probability distribution.

Concept explainers

Videos

To calculate: The expected value of X for the given probability distribution.

x

−20

−10

0

10

20

30

P(X=x)

0.2

0.4

0.2

0.1

0

0.1

Want to see the full answer?

Chapter 9 Solutions

The expected value of X for the given probability distribution. x − 20 − 10 0 10 20 30 P ( X = x ) 0.2 0.4 0.2 0.1 0 0.1

Solution Summary: The author calculates the expected value of X for the given probability distribution.

Concept explainers

Videos

To calculate: The expected value of X for the given probability distribution. x −20 −10 0 10 20 30 P(X=x) 0.2 0.4 0.2 0.1 0 0.1

Want to see the full answer?

Chapter 9 Solutions

To calculate: The expected value of X for the given probability distribution.

x

−20

−10

0

10

20

30

P(X=x)

0.2

0.4

0.2

0.1

0

0.1