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Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The amount of snowfall in December in City A b. The number of bald eagles in a country c. The gender of college students d. The number of statistics students now reading a book e. The number of people with blood type A in a random sample of 18 people f. The number of points scored during a basketball game

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Answer:

a) a continuous random variable; b) a discrete random variable; c) not a random variable; d) a discrete random variable; e) a discrete random variable; f) a discrete random variable

Step-by-step explanation:

A continuous random variable is one that can take multiple values between whole number values; for instance, fractions and decimals.  Snowfall is a continuous random variable.

A discrete random variable is one that can only take whole number values.  The number of bald eagles, the number of students reading a book, the number of people with blood type A, and the number of points scored in a  basketball game are discrete random variables.

Gender of students is not a numerical value; this is not a random variable.

adioabiola

Here, we are required to determine whether the value a list of data sets are, discrete random variable, continuous random variable, or not a random variable.

  • Options B, D, E and F are examples of discrete random variable values.
  • Option A is an example of a continuous random variable value.
  • Option C is an example of a non-random variable value.

First, it is important to know the characteristics of each type of value as follows;

  1. A discrete random variable is one which usually (although not necessarily) are counts. The statement above means they may take on only a countable number of distinct values such as 0,1,2,3, and on. Put simply, they can take only a finite number of distinct values. Distinct in this case means whole number values. Examples are as follows;

  • The number of bald eagles in a country
  • The number of statistics students now reading a book
  • The number of people with blood type A in a random sample of 18 people
  • The number of points scored during a basketball game

2. A continuous random variable is one which has an infinite number of possible values. This means that the value of a continuous variable is usually associated with fractions of whole numbers, i.e continuous random variables are used majorly for measurements such as length, height and so on. An example from the question above is;

  • The amount of snowfall in December in City

3. A non-random variable is one whose values are definite. An example from above is;

  • The gender of college students

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