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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Solved: Determine whether the random variable is discrete

Chapter 6, Problem 7E

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QUESTION:

Problem 7E

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.

(a) The amount of rain in Seattle during April.

(b) The number of fish caught during a fishing tournament.

(c) The number of customers arriving at a bank between noon and 1:00 p.m.

(d) The time required to download a file from the Internet.

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QUESTION:

Problem 7E

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.

(a) The amount of rain in Seattle during April.

(b) The number of fish caught during a fishing tournament.

(c) The number of customers arriving at a bank between noon and 1:00 p.m.

(d) The time required to download a file from the Internet.

ANSWER:

Solution :

Step 1 of 4:

Our goal is:

We need to determine whether the random variable is discrete or continuous.

Continuous variable :

It is a variable whose value is obtained by measuring.

Discrete variable :

It is a variable whose value is obtained by counting.

a). From the given problem we know that the amount of rain in Seattle during April.

It is continuous random variable, the rain in April can be anything greater than 0mm.

Therefore, it is a continuous random variable.

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