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Chapter 4: Problem 81

Identify the following as discrete or continuous random variables: a. Increase in length of life attained by a cancer patient as a result of surgery b. Tensile breaking strength (in pounds per square inch) of 1 -inch-diameter steel cable c. Number of deer killed per year in a state wildlife preserve d. Number of overdue accounts in a department store at a particular time e. Your blood pressure

Short Answer

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a. Increase in length of life attained by a cancer patient as a result of surgery b. Tensile breaking strength (in pounds per square inch) of 1-inch-diameter steel cable c. Number of deer killed per year in a state wildlife preserve d. Number of overdue accounts in a department store at a particular time e. Your blood pressure Answer: a. Continuous random variable b. Continuous random variable c. Discrete random variable d. Discrete random variable e. Continuous random variable

Step by step solution

01

a. Increase in length of life attained by a cancer patient as a result of surgery

This variable can take on various values, including decimals and fractions as it deals with the length of time a cancer patient lives after surgery. This is a continuous random variable.
02

b. Tensile breaking strength (in pounds per square inch) of 1-inch-diameter steel cable

Tensile breaking strength can take on various values, including decimals and fractions as it deals with the force required to break a steel cable. This is a continuous random variable.
03

c. Number of deer killed per year in a state wildlife preserve

The number of deer killed per year can only take on distinct, whole number values as you cannot have a fraction or decimal of a deer. This is a discrete random variable.
04

d. Number of overdue accounts in a department store at a particular time

The number of overdue accounts can only take on distinct, whole number values as you cannot have a fraction or decimal of an account. This is a discrete random variable.
05

e. Your blood pressure

Blood pressure can take on various values, including decimals and fractions, as it is measured in millimeters of mercury (mmHg) and can vary continuously. This is a continuous random variable.

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