determine whether the following value is a continuous random variable, discrete random variable, or not a…

determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.\na. the number of pigeons in a country\nb. the \yes\ or \no\ response to a survey question\nc. the number of free - throw attempts before the first shot is missed\nd. the time it takes for a light bulb to burn out\ne. the time required to upload a file to the internet\nf. the number of textbook authors now eating a meal\na. is the number of pigeons in a country a discrete random variable, continuous random variable, or not a random variable?\na. it is a continuous random variable.\nb. it is a discrete random variable.\nc. it is not a random variable.\nb. is the \yes\ or \no\ response to a survey question a discrete random variable, continuous random variable, or not a random variable?\na. it is a discrete random variable.\nb. it is a continuous random variable.\nc. it is not a random variable.\nc. is the number of free - throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?\na. it is a continuous random variable.

determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.\na. the number of pigeons in a country\nb. the \yes\ or \no\ response to a survey question\nc. the number of free - throw attempts before the first shot is missed\nd. the time it takes for a light bulb to burn out\ne. the time required to upload a file to the internet\nf. the number of textbook authors now eating a meal\na. is the number of pigeons in a country a discrete random variable, continuous random variable, or not a random variable?\na. it is a continuous random variable.\nb. it is a discrete random variable.\nc. it is not a random variable.\nb. is the \yes\ or \no\ response to a survey question a discrete random variable, continuous random variable, or not a random variable?\na. it is a discrete random variable.\nb. it is a continuous random variable.\nc. it is not a random variable.\nc. is the number of free - throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?\na. it is a continuous random variable.

Answer

Explanation:

Step1: Recall variable - type definitions

A discrete random variable has a countable number of possible values. A continuous random variable can take on any value in an interval.

Step2: Analyze part a

The number of pigeons in a country is a countable quantity. So it is a discrete random variable.

Step3: Analyze part b

The "yes" or "no" response to a survey question is a categorical variable that can be coded as 0 (no) and 1 (yes). It is a discrete random variable.

Step4: Analyze part c

The number of free - throw attempts before the first shot is missed is a countable number (0, 1, 2, etc.). So it is a discrete random variable.

Step5: Analyze part d

The time it takes for a light bulb to burn out can take on any non - negative real value within an interval. It is a continuous random variable.

Step6: Analyze part e

The time required to upload a file to the Internet can take on any non - negative real value within an interval. It is a continuous random variable.

Step7: Analyze part f

The number of textbook authors now eating a meal is a countable quantity. So it is a discrete random variable.

Answer:

a. B. It is a discrete random variable. b. A. It is a discrete random variable. c. B. It is a discrete random variable. d. A. It is a continuous random variable. e. A. It is a continuous random variable. f. B. It is a discrete random variable.