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 $x \geq 0$.

Answer

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Answer

Final Answer: \(\boxed{\text{(A) The random variable is discrete. The possible values are } x=0,1,2, \ldots}\)

Steps

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: \(\boxed{\text{(A) The random variable is discrete. The possible values are } x=0,1,2, \ldots}\)

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