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Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
(a) The number of fish caught during a fishing tournament.
(b) The square footage in square feet of a house.
(a) Is the number of fish caught during a fishing tournament discrete or continuous?
A. The random variable is continuous. The possible values are
B. The random variable is continuous. The possible values are ,
C. The random variable is discrete. The possible values are .
D. The random variable is discrete. The possible, values are ,

Ask by Mejia Bird. in the United States
Mar 14,2025

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Answer

The number of fish caught is discrete, with possible values .

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The Deep Dive

The number of fish caught during a fishing tournament is a classic example of a discrete random variable. This means it can only take specific, countable values such as 0, 1, 2, and so on. You can’t catch a fraction of a fish, right? Therefore, the correct answer is:
C. The random variable is discrete. The possible values are .
On the other hand, the square footage in square feet of a house represents a continuous random variable. It can take on any value within a given range, including decimals, because a house’s size can be measured very precisely. So if you think about measuring a room, you might say it’s 12.5 feet by 15.75 feet, showcasing that any value is possible.

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