Question

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Miguel sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.

16 visitors purchased no costume.
157 visitors purchased exactly one costume.
17 visitors purchased more than one costume.

If next week, he is expecting 1500 visitors, about how many would you expect to buy exactly one costume? Round your answer to the nearest whole number.

Answer 1

To estimate the number of visitors who would buy exactly one costume next week, we need to calculate the proportion of visitors who purchased exactly one costume on the day for which we have data, and then apply that proportion to the expected number of visitors next week.

Proportion of visitors who purchased exactly one costume:
157 visitors purchased exactly one costume
Out of a total of 16 + 157 + 17 = 190 visitors
Proportion = 157/190
Proportion = 0.826

Next week, Miguel is expecting 1500 visitors. Therefore, we can estimate the number of visitors who would buy exactly one costume as follows:

Expected number of visitors who buy exactly one costume = Proportion x Expected number of visitors
Expected number of visitors who buy exactly one costume = 0.826 x 1500
Expected number of visitors who buy exactly one costume = 1239

Rounding this number to the nearest whole number, we can estimate that about 1240 visitors would buy exactly one costume next week.