Chapter 5: Q 5.106 (page 224)

Fill in the blank.
For a discrete random variable, the sum of the probabilities of its possible values equals ____.

Short Answer

Expert verified

The sum of the probabilities of all discrete random variables equals 1.

Step by step solution

Given information

Take :

"The total of the probability of all possible values for a discrete random variable is equal to ___."

Solution

The total probability of all possible values for a discrete random variable is always 1. Consider the following random variable X, which can take one of two values: 1 or 2, with

$P (1) = 0.3 a n d P (2) = 0.7 .$ P ( 1 ) = 0.3 and P ( 2 ) = 0.7.

in this case.

$P (1) + P (2) = 1$

Because total likelihood resembles that one of the outcomes will occur, which is always true, the sum of the probabilities will always equal 1.

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For a discrete random variable, the sum of the probabilities of its possible values equals ____.

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Fill in the blank.For a discrete random variable, the sum of the probabilities of its possible values equals ____.

Short Answer

Step by step solution

Given information

Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Calculus

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Fill in the blank.
For a discrete random variable, the sum of the probabilities of its possible values equals ____.