Classify the following random variables as discrete or continuous:

a. X: the number of automobile accidents per year in Virginia.

b. Y : the length of time to play 18 holes of golf.

c. M: the amount of milk produced yearly by a particular cow.

d. N: the number of eggs laid each month by a hen.

e. P: the number of building permits issued each month in a certain city.

f. Q: the weight of grain produced per acre.

a. Discrete

b. Continuous

c. Continuous

d. Discrete

e. Discrete

f. Continuous

Step-by-step explanation:

The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions.

In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable.

a.

Variable X consists of number of automobile accidents which can be counted. So, it is a discrete variable.

b.

Variable Y consists of length of time which can't be counted but can be measured. So, it is a continuous variable.

c.

Variable M consists of amount of milk produced which can't be counted but can be measured. So, it is a continuous variable.

d.

Variable N consists of number of eggs laid which can be counted. So, it is a discrete variable.

e.

Variable P consists of number of buildings permit issued which can be counted. So, it is a discrete variable.

f.

Variable Q consists of weight of grain which can't be counted but can be measured. So, it is a continuous variable.