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 points scored during a basketball game. (b) The square footage of a house. (a) Is the number of points scored during a basketball game discrete or continuous? O A. The random variable is continuous. The possible values are x = 0, 1, 2,.... OB. The random variable is continuous. The possible values are x20. O C. The random variable is discrete. The possible values are x20. OD. The random variable is discrete. The possible values are x = 0, 1, 2,.... (b) Is the square footage of a house discrete or continuous? O A. The random variable is continuous. The possible values are a > 0. O B. The random variable is discrete. The possible values are a>0. O C. The random variable is continuous. The possible values are a = 1, 2, 3, .... OD. The random variable is discrete. The possible values are a = 1, 2, 3, ....

Answer 1

Discrete data is countable while continuous data is measurable. Discrete data contains distinct or separate values. On the other hand, continuous data includes any value within range.

a. Points scored during the basketball will be 0,1,2,...

So answer here is

D. The random variable is discrete. The possible values are x = 0, 1, 2,...

b. Square footage of a house will take value in the range

Hence answer here is

O A. The random variable is continuous. The possible values are a > 0