Question
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
(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
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number of fish caught is discrete, with possible values
Solution
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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.
