Solved: Classify the following random variables as

Problem 3.1

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.

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A sample space which contains a finite number of possibilities or an unending sequence with as many elements as there are whole numbers is called a discrete sample space. A sample space which contains an infinite number of possibilities equal to the number of points on a line segment then it is called a continuous sample space.

A random variable is called a discrete random variable if its set of possible outcomes are countable. If the random variable can take on values on a continuous scale, it is called a continuous random variable