Question
Question 10
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store. Use the results to determine how many people use Redbox.
47 only use Netflix
22 only use a video store
57 use only Netflix and Redbox
7 use all three
66 only use Redbox
13 use only a video store and Redbox
24 use only a video store and Netflix
20 use none of these
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22 only use a video store
57 use only Netflix and Redbox
7 use all three
13 use only a video store and Redbox
24 use only a video store and Netflix
20 use none of these
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Video 2
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Ask by Clarke Reeves. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
143 people used Redbox.
Solution
Let’s denote the sets as follows:
-
for people who use Netflix, -
for people who use Redbox, -
for people who use a video store.
The survey gives us the following counts for the disjoint regions in the Venn diagram:
- Only Netflix (only
): - Only Redbox (only
): - Only video store (only
): - Only Netflix and Redbox (i.e.
but not ): - Only video store and Redbox (i.e.
but not ): - Only video store and Netflix (i.e.
but not ): - All three (i.e.
): - None of these:
(This value will not affect the count for Redbox.)
To find how many people use Redbox, we need to sum all regions that include
- Only Redbox:
- Netflix and Redbox but not video store:
- Video store and Redbox but not Netflix:
- All three:
Thus, the total number of people using Redbox is given by:
Calculating step-by-step:
Therefore, the number of people who used Redbox is:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
Did you know that Redbox began as a solution to the rising costs of traditional movie rentals? The first Redbox kiosk was positioned in a McDonald’s in 2002, transforming how we view entertainment on-the-go. Initially focusing on DVD rentals, it has since adapted to changes in technology, including streaming services, to stay relevant in the evolving landscape of home entertainment.
When analyzing survey results like this, a common mistake is failing to visualize the data. A Venn diagram can be an absolute lifesaver here! It helps to clearly delineate the relationships between Netflix, Redbox, and video stores. By identifying overlaps and exclusivities, you can easily calculate the number of people using each service, shedding light on some fascinating viewing habits.
