   # Listed is a series of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whether the random variable is discrete or continuous. Experiment Random Variable ( x ) a. Take a 20-question examination Number of questions answered correctly b. Observe cars arriving at a tollbooth for 1 hour Number of cars arriving at tollbooth c. Audit 50 tax returns Number of returns containing errors d. Observe an employee’s work Number of nonproductive hours in an eight-hour workday e. Weigh a shipment of goods Number of pounds 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 5.1, Problem 6E
Textbook Problem
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## Listed is a series of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whether the random variable is discrete or continuous. Experiment Random Variable (x) a. Take a 20-question examination Number of questions answered correctly b. Observe cars arriving at a tollbooth for 1 hour Number of cars arriving at tollbooth c. Audit 50 tax returns Number of returns containing errors d. Observe an employee’s work Number of nonproductive hours in an eight-hour workday e. Weigh a shipment of goods Number of pounds

a.

To determine

Check whether the random variable is discrete or continuous and state the possible values of the random variable.

### Explanation of Solution

A twenty question examination is considered and the random variable x denotes the number of questions answered correctly.

Random Variable:

A random variable x is a numerical outcome of a probability experiment. Moreover, there is a numerical value which is determined by chance for each outcome in the procedure or experiment.

Discrete random variable:

A discrete random variable takes a collection of values which is finite or countable...

b.

To determine

Check whether the random variable is discrete or continuous and state the possible values of the random variable.

c.

To determine

Check whether the random variable is discrete or continuous and state the possible values of the random variable.

d.

To determine

Check whether the random variable is discrete or continuous and to state the possible values of the random variable.

e.

To determine

Check whether the random variable is discrete or continuous and state the possible values of the random variable.

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