Solve the following problem : Identify the random variable as discrete or continuous in each of the following. Identify its range if it is discrete. Amount of syrup prescribed by a physician. - Mathematics and Statistics

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Sum

Solve the following problem :

Identify the random variable as discrete or continuous in each of the following. Identify its range if it is discrete.

Amount of syrup prescribed by a physician.

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Solution

Let X = amount of syrup prescribed by a physician.
Here, X can take any positive or fractional value, i.e, X takes uncountably infinite values.
∴ X is a continuous r.v.

Concept: Types of Random Variables
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Chapter 8: Probability Distributions - Part I [Page 155]

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