Question

Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number of fish caught during a fishing tournament b. The number of textbook authors now sitting at a computer c. The political party affiliation of adults in the United States d. The square footage of a house e. The number of free dash throw attempts before the first shot is made f. The weight of a Upper T dash bone steak

Answer 1

Answer:

a. Discrete

b. Discrete

c. Not a random variable

d. Continuous

e. Discrete

f. Continuous

Step-by-step explanation:

The discrete random variable is countable while continuous random variable is measurable.

a. The number of fish caught is a discrete random variable because these are countable.

b. The number of text book authors are also countable so it is a discrete random variable.

c. The political party affiliation of adults is not a random variable because the political party affiliation depends on person's interest and it cannot be randomly assigned to person. Also random variable is the numerical outcome of random experiment whereas political affiliation is the categorical variable that results in non numerical responses such as Democrat, Republicans etc.

d. The square footage of a house is measurable and so it is a continuous random variable.    

e. The number of free dash throw attempts are countable so it is a discrete random variable

f. The weight of Upper T dash bone steak is measurable and so it is a continuous random variable.