Determine whether the random variable is discrete or

Chapter 6, Problem 5E

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QUESTION:

 Problem 5E

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.

(a) The number of light bulbs that burn out in the next week in a room with 20 bulbs.

(b) The time it takes to fly from New York City to Los Angeles.

(c) The number of hits to a Web site in a day.

(d) The amount of snow in Toronto during the winter.

Questions & Answers

QUESTION:

 Problem 5E

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.

(a) The number of light bulbs that burn out in the next week in a room with 20 bulbs.

(b) The time it takes to fly from New York City to Los Angeles.

(c) The number of hits to a Web site in a day.

(d) The amount of snow in Toronto during the winter.

ANSWER:

Solution :

Step 1 of 4:

Our goal is :

We need to identify whether it is continuous or discrete.

a).Here we can observe that the number of bulbs can only be whole numbers or integers.

The number of bulbs that can be burn out in a week 0,1,2,....20.

Thus, the random variable here is a discrete random variable and the possible values the variable can take are 0,1,2,....,20.


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