Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Y : the length of time to play 18 holes of golf. M: the amount of milk produced yearly by a particular cow. N: the number of eggs laid each month by a hen. P: the number of building permits issued each month in a certain city. Q: the weight of grain produced per acre.

X: Discrete random variable

Y: Continuous random variable

M: Continuous random variable

N: Discrete random variable

P: Discrete random variable

Q: Continuous random variable

Step-by-step explanation:

A discrete random variable is a variable that takes countable values such as 0,1,2,3, etc. A continuous random variable is a variable that takes measurable values such as 0.1,1.3,2.6,3.8, etc.

X, N and P are discrete random variables because they have countable values such that Number of automobile accidents, number of eggs laid and number of building permits can be counted as 0,1,2,3, and so on.

Y, M and Q are continuous random variables because they don't have countable values such that the length of time to play, the amount of milk produced and the weight of grain can be measured but can't be counted.