Pregunta
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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
(b) Is the square footage in square feet of a house discrete or continuous?
A. The random variable is discrete. The possible values are .
B. The random variable is discrete. The possible values are .
C. The random variable is continuous. The possible values are .
D. The random variable is continuous. The possible values are .

Ask by Allan Pearson. in the United States
Mar 14,2025

Solución de inteligencia artificial de Upstudy

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(a) Number of fish caught during a fishing tournament
  • Discrete
  • Possible values:
(b) Square footage in square feet of a house
  • Continuous
  • Possible values:

Solución

(a) Number of fish caught during a fishing tournament
  • The number of fish caught is counted as whole numbers.
  • Therefore, the random variable is discrete.
  • The possible values are .
The correct answer is option C.
(b) Square footage in square feet of a house
  • Although square footage is often reported in whole numbers, it is fundamentally measured as a continuous variable because it can take any value within a range (for example, it could be square feet).
  • Therefore, the random variable is continuous.
  • The possible values are .
The correct answer is option C.

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The Deep Dive

The number of fish caught during a fishing tournament is a discrete random variable. The possible values are since you can only catch a whole number of fish, and you can’t catch a fraction of a fish! Thus, the correct answer is C.
On the other hand, the square footage in square feet of a house is considered a continuous random variable, as it can take on any value within a range. For example, you can have a home that is 1500.5 square feet or even 1500.75 square feet! Therefore, the right choice for this scenario is C, where the possible values are .

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