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. Classify each random variable as either discrete or continuous. a. The time between customers entering a checkout lane at a retail store. b. The weight of refuse on a truck arriving at a landfill. c. The number of passengers in a passenger vehicle on a highway at rush hour. d. The number of clerical errors on a medical chart. e. The number of accident-free days in one month at a factory.

Sagot :

Answer:

a. The time between customers entering a checkout lane at a retail store - Continuous

b. The weight of refuse on a truck arriving at a landfill - Discrete

c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous

d. The number of clerical errors on a medical chart - Continuous

e. The number of accident-free days in one month at a factory - Discrete

Step-by-step explanation:

A discrete variable is one whose value can be counted or it is a countable variable while continuous variable is not countable and hence it is measured.

a. The time between customers entering a checkout lane at a retail store - Continuous

b. The weight of refuse on a truck arriving at a landfill - Discrete

c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous

d. The number of clerical errors on a medical chart - Continuous

e. The number of accident-free days in one month at a factory - Discrete

Random variables map sample space elements to real numbers. The classification of these random variables is done as:

  • Option A is Continuous random variable
  • Option B is Continuous random variable
  • Option C is discrete random variable
  • Option D is discrete random variable
  • Option E is discrete random variable

What are random variables?

Random variables are rules relating the sample space's elements to real numbers.

What are discrete random variables?

Those random variables, who take only distinct values, are called discrete random variables.

What are continuous random variables?

Those random variables, who take any value from a given continuous interval of real numbers are called continuous variables.

For the given first and second cases, the time between customers entering a checkout lane, or the weight on a truck can be any value in an interval of real numbers. Its not assuming distinct values and it can be any value in a continuous real number interval. Thus, they are continuous random variable.

For the given cases, from case third to fifth, the number of errors, the number of clerical errors, and the number of days, all can only be integers and thus, they are distinct, non-continuous in any non-zero sized interval, thus, they are discrete random variables.

Thus,  the classification of these random variables is done as:

  • Option A is Continuous random variable
  • Option B is Continuous random variable
  • Option C is discrete random variable
  • Option D is discrete random variable
  • Option E is discrete random variable

Learn more about discrete and continuous random variables here:

https://brainly.com/question/13015864

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