Question

Determine whether the random variable is discrete or continuous. A. The number of people in a restaurant that has a capacity of 100. B. The weight of a feather C. The exact life span of a kitten. D. The number of supermodels who ate pizza yesterday.

Answer 1

A random variable can be categorized into two broad categories ? A random variable or a continuous variable. A discrete random variable can take only distinct, finite and countable values. A continuous random variable can take any value in the given number intervals.

(a)

The number of people in a restaurant is always countable. Hence, it is an example of a discrete variable.

(b) the weight is not a finite value. Therefore it is continuous variable.

(C) the exact life span of kitten is countable.Hence it is an example of discrete variable.

(d) the number of supermodels is a countable.Therefore it is an example of discrete variable.