Solved

Sampling

Posted on 2016-07-18
3
78 Views
Last Modified: 2016-07-19
Can you please tell me if this is correct?  Thanks

A selection of​ soft-drink users is asked to taste the two disguised soft drinks and indicate which they prefer. The accompanying data contains the results of a simulated challenge on a college campus.      
                                                                  
Age      Preference      Age      Preference      Age      Preference      Age      Preference      Age      Preference      Age      Preference
17      Brand B      21      Brand A      21      Brand B      19      Brand A      21      Brand A      18      Brand B
19      Brand A      16      Brand A      18      Brand B      23      Brand B      19      Brand B      22      Brand B
21      Brand A      20      Brand A      21      Brand A      24      Brand A      19      Brand A      22      Brand B
19      Brand B      19      Brand A      16      Brand A      19      Brand A      20      Brand B      21      Brand A
18      Brand A      19      Brand A      19      Brand B      21      Brand B      18      Brand A            
24      Brand B      21      Brand B      23      Brand A      20      Brand A      20      Brand B            
22      Brand A      18      Brand A      17      Brand B      22      Brand B      20      Brand A            
20      Brand A      20      Brand A      19      Brand B      21      Brand B      17      Brand B            
22      Brand B      22      Brand A      24      Brand A      22      Brand B      21      Brand B            
19      Brand B      19      Brand A      20      Brand A      21      Brand B      20      Brand A            
16      Brand A      24      Brand A      24      Brand A      22      Brand B      17      Brand B            
16      Brand A      21      Brand B      16      Brand B      18      Brand B      21      Brand A            
21      Brand B      22      Brand A      18      Brand B      22      Brand B      16      Brand A            
22      Brand B      21      Brand B      22      Brand B      20      Brand B      16      Brand A            
22      Brand B      20      Brand A      19      Brand B      19      Brand B      23      Brand B            
19      Brand B      19      Brand A      22      Brand A      19      Brand B      20      Brand B            
24      Brand B      22      Brand A      23      Brand B      23      Brand B      21      Brand A            
17      Brand A      21      Brand A      16      Brand B      22      Brand A      23      Brand A            
20      Brand B      24      Brand B      24      Brand A      21      Brand B      18      Brand B            
                                                                  
a. Determine the probability that a randomly chosen student prefers Brand A.                                                                  
                                                                  
​P(Brand ​A) = 47/114                                                                  
                                                                  
b. Determine the probability that one of the students prefers Brand A and is less than 18 years old.

P(Brand A and Age <18​) = 7/114

c. Of those students who are less than 18 years​ old, calculate the probability that a randomly chosen student      
prefers​ (1) B and A and​ (2) Brand B.                                                                  
P(Brand A if Age <18​) = 6/114
​P(Brand B if Age <18​) = 6/114

P(Brand A if Age≥18​) =  34/114
​P(Brand B if Age≥18​) =  38/114

d. Of those students who are at least 18 years​ old, calculate the probability that a randomly chosen student                        
prefers​ (1) Brand A and​ (2) Brand B.                                                                  
P(Brand A  if Age ≥18​) = 38/114
​P(Brand B if Age≥18​) = 42/114
0
Comment
Question by:mustish1
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
  • 2
3 Comments
 
LVL 74

Expert Comment

by:sdstuber
ID: 41718104
there are only 99 students in your sample data,  where are you getting 114?
0
 
LVL 74

Accepted Solution

by:
sdstuber earned 500 total points
ID: 41718108
also, questions c and  aren't looking at the entire population, they are only looking at students less than 18.

I guess that could be a misreading of the question's intent though.
0
 

Author Closing Comment

by:mustish1
ID: 41719246
Thanks.
0

Featured Post

Technology Partners: We Want Your Opinion!

We value your feedback.

Take our survey and automatically be enter to win anyone of the following:
Yeti Cooler, Amazon eGift Card, and Movie eGift Card!

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Article by: Nicole
This is a research brief on the potential colonization of humans on Mars.
When we purchase storage, we typically are advertised storage of 500GB, 1TB, 2TB and so on. However, when you actually install it into your computer, your 500GB HDD will actually show up as 465GB. Why? It has to do with the way people and computers…
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…

688 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question