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Chapter 7: Problem 1

State whether each of the following random variables is discrete or continuous: a. The number of defective tires on a car b. The body temperature of a hospital patient c. The number of pages in a book d. The number of draws (with replacement) from a deck of cards until a heart is selected e. The lifetime of a lightbulb

Short Answer

Expert verified
a. Discrete; b. Continuous; c. Discrete; d. Discrete; e. Continuous.

Step by step solution

01

Distinguish Between Discrete and Continuous Variables

This involves identifying whether the random variable under consideration can take on any value within a given interval (continuous) or can only take on distinct, separate values (discrete).
02

Apply Identification to Each Variable

Identify each variable as either discrete or continuous based on the parameter it measures: a. The number of defective tires on a car - This is a discrete variable because the number of defective tires can only be an integer. b. The body temperature of a hospital patient - This is a continuous variable because body temperature can take any value in a certain range. c. The number of pages in a book - This is a discrete variable because the number of pages in a book must be a whole number. d. The number of draws (with replacement) from a deck of cards until a heart is selected - This is a discrete variable because the number of draws is countable. e. The lifetime of a lightbulb - This is a continuous variable because the life of a product can take any value in a certain range.

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Most popular questions from this chapter

A box contains four slips of paper marked \(1,2,3\), and \(4 .\) Two slips are selected without replacement. List the possible values for each of the following random variables: a. \(x=\) sum of the two numbers b. \(y=\) difference between the first and second numbers c. \(z=\) number of slips selected that show an even number d. \(w=\) number of slips selected that show a 4

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