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 fish caught during a fishing tournament.
(b) the time it takes for a light bulb to burn out.

(a) is the number of fish caught during a fishing tournament discrete or continuous?
○ a. the random variable is discrete. the possible values are ( x = 0,1,2,cdots )
○ b. the random variable is discrete. the possible values are ( xgeq0 ).
○ c. the random variable is continuous. the possible values are ( x = 0,1,2,cdots )
○ d. the random variable is continuous. the possible values are ( xgeq0 ).

Explanation:

A discrete random variable has countable values. The number of fish caught is countable (0, 1, 2, etc.). A continuous random variable can take any value in an interval. Time is continuous but here we focus on part (a).

Answer:

A. The random variable is discrete. The possible values are \(x = 0,1,2,\cdots\)