Answer:
C. The random variable is discrete. The possible values are x= 0, 1, 2... 100
C. The random variable is continuous. The possible values are a > 0.
Explanation:
Here is the complete 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 people in a restaurant that has a capacity of 100
(b) The square footage of a house.
(a) Is the number of people in a restaurant that has a capacity of 100 discrete or continuous?
A. The random variable is discrete. The possible values are 0≤x≤ 100.
B. The random variable is continuous. The possible values are 0≤x≤ 100.
C. The random variable is discrete. The possible values are x= 0, 1, 2... 100
D. The random variable is continuous. The possible values are x= 0, 1, 2... 100
b) Is the square footage of a house discrete or continuous?
A. The random variable is discrete. the possible values are a > 0
B. The random variable is discrete. The possible values are a = 1, 2, 3...
C. The random variable is continuous. The possible values are a > 0.
D. The random variable is continuous. The possible values are a = 1,2, 3,
A discrete variable is a variable that can be counted. It has a finite amount of values. The number of people in the restaurant is finite. It cannot exceed 100. At any point in time when you count the number of people in the restaurant and it would be between 0 - 100
A continuous variable has an infinite amount of values it can take on. The square footage of a house can be of any size. there is no limit to the size of a house. it can be as small or big as the architect's imagination allows.