Learn how to a build a cloud-first strategyRegister Now

x
?
Solved

Sampling

Posted on 2016-07-18
3
Medium Priority
?
125 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
  • 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 2000 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

Keep up with what's happening at Experts Exchange!

Sign up to receive Decoded, a new monthly digest with product updates, feature release info, continuing education opportunities, and more.

Question has a verified solution.

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

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…
As computers become more powerful, jobs will be replaced with artificial intelligence, leaving no place in the future for humans in the workforce. In the oncoming technological revolution, the staggering change to human mind labor will prove the ski…
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.
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…
Suggested Courses
Course of the Month20 days, 18 hours left to enroll

810 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