Elementary Statistics (Text Only)
Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Chapter 6, Problem 1CQ

Explain why the following is not a probability distribution.

Chapter 6, Problem 1CQ, Explain why the following is not a probability distribution.

Expert Solution & Answer
Check Mark
To determine

To explain whether the given distribution is probability distribution.

Answer to Problem 1CQ

This is not a probability distribution as the sum of probabilities are not equal to 1.

Explanation of Solution

Given:

    x678910
    P(x)0.320.110.190.280.03

A distribution is considered as a valid probability distribution when sum of all the probability of all outcomes of an experiment is equal to 1.

Let’s check whether the sum of probability is one or not:

  =P(6)+P(7)+P(8)+P(9)+P(10)=0.32+0.11+0.19+0.28+0.03=0.93

Since the sum of all probabilities is not equal to 1, therefore, it is not a probability distribution.

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Chapter 6 Solutions

Elementary Statistics (Text Only)

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