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Chapter 5: Q6 (page 195)

In Exercises 5 and 6, refer to the given values, then identify which of the following is most appropriate:discrete random variable, continuous random variable, ornot a random variable.

a. Grades (A, B, C, D, F) earned in statistics classes

b. Heights of students in statistics classes

c. Numbers of students in statistics classes

d. Eye colors of statistics students

e. Numbers of times statistics students must toss a coin before getting heads

Short Answer

Expert verified

a.Not a random variable

b. Continuous random variable

c. Discrete random variable

d. Not a random variable

e. Discrete random variable

Step by step solution

01

Given information

The choices to classify variables are discrete random variable, continuous random variable, or not a random variable.

02

Define random, discrete, and continuous random variables

A variable that can be expressed numerically is a random variable.

A variable with finite and countable values is a discrete variable.

A continuous variable is a variable that can take infinitely many values and cannot be counted.

03

Identify the variables in three categories

a.

In the provided scenario, the variable is not a random variable as thegrades are not numerically expressed but categorized.

Thus, the variable is not a random variable.

b.

The height of students is a continuous random variable as the heights can take infinitely many values.

Thus, the variable is a continuous random variable.

c.

The number of students in statistics classes isfinite and can be counted.

Thus, the variable is a discrete random variable.

d.

The number of eye colors of the statistics students isnot a random variable as it cannot be numerically expressed.

Thus, the variable is not a random variable.

e.

The number of timesthe statistics students must toss a coin before getting heads can be counted.

Thus, the variable for the provided statement is a discrete random variable.

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