Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of light bulbs that burn out in the next year in a room with 19 bulbs
b. The usual mode of transportation of people in City Upper A
c. The number of statistics students now doing their homework
d. The number of home runs in a baseball game
e. The exact time it takes to evaluate 67 plus 29
f. The height of a randomly selected person

a. The number of light bulbs that burn out in the next year in a room with 19 bulbs: is a discrete random variable.

b. The usual mode of transportation of people in City Upper A: is not a random variable because its outcome isn't numerical.

c. The number of statistics students now doing their homework: is a discrete random variable.

d. The number of home runs in a baseball game: is a discrete random variable.

e. The exact time it takes to evaluate 67 plus 29: is a continuous random variable.

f. The height of a randomly selected person: is a continuous random variable.

Step-by-step explanation:

A random variable often used in statistics and probability, is a variable that has its possible values as numerical outcomes of a random experiment or phenomenon. It is usually denoted by a capital letter, such as X.

In statistics and probability, random variables are either continuous or discrete.

1. A continuous random variable is a variable that has its possible values as an infinite value, meaning it cannot be counted.

Example are the height of a randomly selected person, time it take to move from Texas to New York city, etc.

2. A discrete random variable is a variable that has its possible values as a finite value, meaning it can be counted.

Examples are the number of light bulbs that burn out in the next year in a room with 19 bulbs, the number of chicken in a district etc.

A random variable in statistics can be loosely defined as a variable whose values depend on the outcome of a random phenomenon. These variables are variables that can be the results of an experiment not yet performed, or the results of an already performed experiment whose already existing result is uncertain.

A discrete random variable is finite and has a countable range of values.

A continuous random variable takes on numerical values in an interval of values and has no countable range of value.

a. The number of light bulbs that burn out in the next year in a room with 19 bulbs---   discrete random variable

b. The usual mode of transportation of people in City Upper A---  

not a random variable

c. The number of statistics students now doing their homework ---   discrete random variable

d. The number of home runs in a baseball game ---   discrete random variable

e. The exact time it takes to evaluate 67 plus 29 ---   continuous random variable

f. The height of a randomly selected person---   continuous random variable

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