Chapter 13.4, Problem 5PPS

To determine

To calculate:

The probability of given event.

Answer to Problem 5PPS

The probability event is $10\%$ .

Explanation of Solution

Given information:

Event:

Ian works at avideo game store. Last year he sold $95\%$ of the new-release video games.

Calculation:

Last year Ian sold $95\%$ of the new-released video games. So, based on geometric model, make a spinner with two segments that represent each percentage of sales by an equal percentage of area of the spinner.

Spin the spinner $20$ times and record the frequency of observed outcomes.

The frequency of outcomes will vary between sets of $20$ spines. One such set, of spines can be recorded in a frequency table as follows:

Outcome	Frequency
Sale	$18$
Non-Sale	$2$
Total	$20$

Now, divide each frequency in the frequency table to get the probabilities for each outcome.

Outcome	Frequency	Probability
Sale	$18$	$\frac{18}{20}=0.90$
Non-Sale	$2$	$\frac{2}{20}=0.10$
Total	$20$	$\frac{20}{20}=1$

Make a probability histogram by charting probability on the vertical axis and outcomes on the horizontal axis.

  

Hence, therefore the retailer sales a certain type of video game is $90\%$ , and then probability of not selling the video game is

  $100\%-90\%=10\%$

Therefore, the probability event is $10\%$ .