Question

Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable. ​(a) The number of people with blood type Upper A in a random sample of 27 people. ​(b) The square footage of a house. ​(a) Is the number of people with blood type Upper A in a random sample of 27 people discrete or​ continuous

Answer 1

Answer:

a) Discrete. Values 0,1,2,3,...,27

b) Continuous. Can be any real positive value.

Step-by-step explanation:

A random variable is discrete if it's values are natural, counting values. That is 0,1,2,3,4 etc

A random variable is continuous if it's values are real numbers, decimal. For example, 1, 2, 0.5, 0.22, etc.

(a) The number of people with blood type Upper A in a random sample of 27 people.

You cannot have 1.5 people with blood type Upper A, for example.

You can have 0,1,2,3,...,27.

This random variable is discrete.

​(b) The square footage of a house.

This square footage can be any real positive value, so it is continuous.