Classify each of the following random variables as discrete or continuous. Y = the number correct on a recent multiple-choice test for a randomly selected student in your class.

Davirnoilc

Davirnoilc

Answered question

2022-11-16

Classify each of the following random variables as discrete or continuous. Y = the number correct on a recent multiple-choice test for a randomly selected student in your class.

Answer & Explanation

andytronicoh4t

andytronicoh4t

Beginner2022-11-17Added 18 answers

DEFINITIONS
Discrete data are restricted to defined separated values with a finite or countable number of different possible values, for example integers or counts.
Continuous data are not restricted to defined separate values, but can occupy any value over a continuous range, for example decimal, rational or real numbers.
SOLUTION
Y=number correct on a recent multiple choice test
Let the test contain n multiple choice questions.
Y can then only take on integer values from 0 to n.
Since there are a finite number of possible values for Y, the random variable is discrete.
Result:
Discrete.

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