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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 7RE

Textbook Problem

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**Bar Code** Use the frequency distribution in Exercise 5 to find the probability distribution for the random variable.

**Bar Code** A computer randomly selects a three-digit bar code. Each digit can be 0 or 1, and *x* is the number of 1’s in the bar code.

x |
0 | 1 | 2 | 3 |

n(x) |

To determine

**To calculate:** The probability distribution of the random variable *x* which is defined as the number of 1’s in the three-digit bar code with each digit being 0 or 1 using the frequency distribution.

**Given Information:**

A three-digit bar code is randomly selected by a computer with each digit can be 0 or 1. The random variable *x* is defined as the number of 1’s in the bar code.

**Formula used:**

The probability of a random variable *x* is defined as,

Here, *x* and *S*.

**Calculation:**

Consider that a three-digit bar code is randomly selected by a computer with each digit can be 0 or 1.

Define the random variable *x* as the number of 1’s in the bar code.

For a three-digit bar code selected randomly by a computer with digit as either 0 or 1, there will be 7 possible outcomes for the three-digit bar code. So, the sample space is:

Thus, the sample space is

As the random variable *x* is defined as the number of 1’s in the bar code, the possible values of number of occurrence of 1’s in all the outcomes are

To find the frequencies, count the number of occurrence of 1’s in all the outcomes in the sample space.

For

For

For

For

Calculus: An Applied Approach (MindTap Course List)

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