Classify the following as discrete or continuous random variables.
(A) The time it takes to run a marathon
(B) The number of fractions between 1 and 2
(C) A pair of dice is rolled, and the sum to appear on the dice is recorded
(D) The length of a broad jump
I got:
(A) Continuous
(B) Discrete
(C) Continuous
(D) Discrete
Is this correct?
No.
CDDC
great i wasn't so sure about the last 2 thank you :)
Your classifications are correct for (A) and (B), but not for (C) and (D).
(C) The sum on a pair of dice rolled can take on discrete values from 2 to 12, inclusive, since there are only a limited number of possible outcomes. Therefore, (C) is a discrete random variable.
(D) The length of a broad jump can take on any positive value within a certain range. For example, it can be 5.34 meters or 6.72 meters. Since there is an infinite number of possible values within a range, (D) is a continuous random variable.
To classify a random variable as discrete or continuous, you need to consider the nature of the possible outcomes. If the outcomes can be counted or represented by integers, it is discrete. If the outcomes can take on any value within a range or be measured, it is continuous.