Chapter 5: Q. 1 (page 308)

Another commercial If Aaron tunes into his favorite radio station at a
randomly selected time, there is a $0.20$ probability that a commercial will be playing.
a. Interpret this probability as a long-run relative frequency.
b. If Aaron tunes into this station at $5$ randomly selected times, will there be exactly one
time when a commercial is playing? Explain your answer.

Short Answer

Expert verified

a) The relative frequency (which is the number of desired results divided by the number of total outcomes) of event A will be $a / 100$

b) the interpretation is that a commercial will be playing roughly $20 %$ of the time he tunes in to his favourite station over a long period of time.

Step by step solution

Part (a) Step 1: Given information

We have to interpret this probability as a long-run relative frequency.

Part (a) Step 2: Explanation

The relative frequency (which is the number of desired results divided by the number of total outcomes) of event A will be $a / 100$ across a large number of experiments if the probability of outcome A is a percent.

Part (b) Step 1: Given information

We have to tell that will there be exactly one time when a commercial is playing.

Part (b) Step 2: Explanation

When dials in to his preferred station, there is a $0.2$ chance that he will hear an advertisement.

As a result, the interpretation is that a commercial will be playing roughly $20 %$ of the time he tunes in to his favourite station over a long period of time.