Problem
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of hits to a website in a day. (b) The time it takes to fly from City A to City B. (a) Is the number of hits to a website in a day discrete or continuous? A. The random variable is discrete. The possible values are $x=0,1,2, \ldots$ B. The random variable is discrete. The possible values are $x \geq 0$. C. The random variable is continuous. The possible values are $x=0,1,2, \ldots$ D. The random variable is continuous. The possible values are $x \geq 0$.
Solution
Step 1 ：Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
Step 2 ：Is the number of hits to a website in a day discrete or continuous?
Step 3 ：The number of hits to a website in a day is a countable quantity. It can only take on integer values (0, 1, 2, 3, ...). Therefore, it is a discrete random variable. The possible values are all non-negative integers.
Step 4 ：Final Answer: \(\boxed{\text{(A) The random variable is discrete. The possible values are } x=0,1,2, \ldots}\)
