Question

Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.

a. The number of pigeons in a country
b. The usual mode of transportation of people in City A
c. The square footage of a pool
d. The number of people in a restaurant that has a capacity of 200
e. The number of free-throw attempts before the first shot is missed
f. The exact time it takes to evaluate 67 +29

Answer 1

The number of pigeons in a country is not a random variable. The square footage of a pool can be a continuous random variable. The number of people in a restaurant with a capacity of 200 can be a discrete random variable.

Step-by-step explanation:

a. The number of pigeons in a country is not a random variable because it is impossible to count all the pigeons in a country accurately. It is a population parameter.

b. The usual mode of transportation of people in City A can be a discrete random variable if it is limited to a specific set of options (e.g., walking, biking, public transport). However, if the mode of transportation can be any option, then it is not a random variable.

c. The square footage of a pool can be a continuous random variable because it can take on any value within a given range.

d. The number of people in a restaurant with a capacity of 200 can be a discrete random variable, as it can only take on whole number values from 0 to 200.

e. The number of free-throw attempts before the first shot is missed can be a discrete random variable, as it can only take on whole number values (including 0).

f. The exact time it takes to evaluate 67 + 29 is not a random variable because it has a specific and fixed value.

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