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Chapter 1: Problem 15

For the following numerical variables, state whether each is discrete or continuous. a. The length of a 1 -year-old rattlesnake b. The altitude of a location in California selected randomly by throwing a dart at a map of the state c. The distance from the left edge at which a 12 -inch plastic ruler snaps when bent sufficiently to break d. The price per gallon paid by the next customer to buy gas at a particular station

Short Answer

Expert verified
The variables are: a) continuous, b) continuous, c) continuous, d) continuous.

Step by step solution

01

Analyze the first variable

The length of a 1-year-old rattlesnake is a continuous variable. This is because the length can take on any value within a certain range (the range of possible lengths for a 1-year-old rattlesnake), rather than only certain specific, separable values.
02

Analyze the second variable

The altitude of a location in California selected randomly by throwing a dart at a map of the state is also a continuous variable. This is because the altitude can take on any value within a feasible range (from sea level to the highest point in California), rather than only certain specific values.
03

Analyze the third variable

The distance from the left edge at which a 12 -inch plastic ruler snaps when bent sufficiently to break is a continuous variable. This is because the break point can occur anywhere along the ruler, which allows for an infinite number of potential break points within the ruler's length.
04

Analyze the fourth variable

The price per gallon paid by the next customer to buy gas at a particular station can be seen as a continuous variable. This is because the price can take on any value within a specific range, influenced by various factors such as global oil prices, the station's pricing strategy etc. In many places, gas prices can change to the decimal, allowing a multitude of possible values.

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