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Chapter 6: Problem 8

A person is asked to draw a line segment that they think is 3 inches long. The length of the line segment drawn will be measured and the value of \(x=(\) actual length -3\()\) will be calculated. a. What is the value of \(x\) for a person who draws a line segment that is 3.1 inches long? b. Is \(x\) a discrete or continuous random variable?

Short Answer

Expert verified
The value of \(x\) when the drawn line segment is 3.1 inches long is 0.1. \(x\) is a continuous random variable.

Step by step solution

01

Calculate the Value of \(x\)

The value of \(x\) is calculated as the actual length of the line segment minus 3 inches. The actual length of the line segment is given as 3.1 inches. This gives us \(x = 3.1 - 3 = 0.1\)
02

Determine if \(x\) is Discrete or Continuous

\(x\) can take any value within a certain range based on the actual length of the line drawn. This is because the length of the line drawn is likely to vary continuously over an interval rather than take on distinct, separate values. Therefore, \(x\) is a continuous random variable.

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