   Chapter 9.1, Problem 10E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Determining a Missing Probability In Exercises 9 and 10, find the missing value of the probability distribution. x 0 1 2 3 4 5 P(x) 0.05 9• 0.25 0.30 0.15 0.10

To determine

To calculate: The value of the missing probability for the random variable that is shown in the below table:

 x 0 1 2 3 4 5 P(x) 0.05 ? 0.25 0.3 0.15 0.1
Explanation

Given information:

The provided information is shown below:

 x 0 1 2 3 4 5 P(x) 0.05 ? 0.25 0.3 0.15 0.1

Formula used:

The probability of a random variable x is given as below:

P(x)=Frequency of xNumber of outcome in S=n(x)n(S)

Where n(S) is the number of equally likely outcome in the sample space.

And probability of an event must be a number between 0 and 1. That is,

0P(x)1

Calculation:

Consider the provided information that is,

 x 0 1 2 3 4 5 P(x) 0.05 ? 0.25 0.3 0.15 0.1

Now, use the formula that the probability of a random variable x,

P(x)=Frequency of xNumber of outcome in S=n(x)n(S)

Where n(S) is the number of equally likely outcome in the sample space

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