Go Premium for a chance to win a PS4. Enter to Win

x
?
Solved

Probability Distribution

Posted on 2016-07-19
5
Medium Priority
?
84 Views
Last Modified: 2016-07-19
Can you please tell me if my calculations are correct?  Thanks.

a. Determine the probability that a randomly chosen student prefers Brand A.
​P(Brand ​A) = 49

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                                                                  
                                                                  
c. Of those students who are less than 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​) =      7                                                            
​P(Brand B if Age <18​) =      5                                                            
                                                                  
P(Brand A if Age≥18​) =            42                                                      
​P(Brand B if Age≥18​) =            42                                                      
                                                                  
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​) =      42                                                            
​P(Brand B if Age≥18​) =            42                                                      

Sno      Age      Preference            Sno      Age      Preference
1      16      Brand A            1      16      Brand B
2      16      Brand A            2      16      Brand B
3      16      Brand A            3      17      Brand B
4      16      Brand A            4      17      Brand B
5      16      Brand A            5      17      Brand B
6      16      Brand A            6      18      Brand B
7      17      Brand A            7      18      Brand B
8      18      Brand A            8      18      Brand B
9      18      Brand A            9      18      Brand B
10      18      Brand A            10      19      Brand B
11      19      Brand A            11      19      Brand B
12      19      Brand A            12      19      Brand B
13      19      Brand A            13      19      Brand B
14      19      Brand A            14      19      Brand B
15      19      Brand A            15      19      Brand B
16      19      Brand A            16      19      Brand B
17      19      Brand A            17      19      Brand B
18      19      Brand A            18      19      Brand B
19      20      Brand A            19      20      Brand B
20      20      Brand A            20      20      Brand B
21      20      Brand A            21      20      Brand B
22      20      Brand A            22      20      Brand B
23      20      Brand A            23      20      Brand B
24      20      Brand A            24      21      Brand B
25      20      Brand A            25      21      Brand B
26      20      Brand A            26      21      Brand B
27      20      Brand A            27      21      Brand B
28      21      Brand A            28      21      Brand B
29      21      Brand A            29      21      Brand B
30      21      Brand A            30      21      Brand B
31      21      Brand A            31      21      Brand B
32      21      Brand A            32      21      Brand B
33      21      Brand A            33      21      Brand B
34      21      Brand A            34      22      Brand B
35      21      Brand A            35      22      Brand B
36      22      Brand A            36      22      Brand B
37      22      Brand A            37      22      Brand B
38      22      Brand A            38      22      Brand B
39      22      Brand A            39      22      Brand B
40      22      Brand A            40      22      Brand B
41      22      Brand A            41      22      Brand B
42      23      Brand A            42      22      Brand B
43      23      Brand A            43      23      Brand B
44      24      Brand A            44      23      Brand B
45      24      Brand A            45      23      Brand B
46      24      Brand A            46      23      Brand B
47      24      Brand A            47      24      Brand B
48      24      Brand A            48      24      Brand B
49      24      Brand A            49      24      Brand B
0
Comment
Question by:mustish1
  • 3
  • 2
5 Comments
 
LVL 74

Expert Comment

by:sdstuber
ID: 41719595
probabilities are a quotient (x/y) that range in value from 0 to 1

therefore, without even looking at your math
 all of your results should be immediately obvious as incorrect.

you could alternatively report them as percentages which then implies a 100 divisor.
0
 

Author Comment

by:mustish1
ID: 41719604
I just count them based on the equation. I dont know how to i shows them in 1 and 0 form.

P(Brand A if Age <18​) =      7                                                            
​P(Brand B if Age <18​) =      5                                                            
                                                                 
P(Brand A if Age≥18​) =            42                                                      
​P(Brand B if Age≥18​) =            42
0
 
LVL 74

Accepted Solution

by:
sdstuber earned 2000 total points
ID: 41719631
a probability means an event happens  x  times out of y trials.

like 2 out of 3  (2/3 or 0.66667)  ,  5 out of 10  (5/10 or 0.5), etc.

if 7 is the count of something, then 7 out of what?  the total population  (98)?
if so, that's fine, but that needs to be included.

So, not 7  but 7/98
0
 

Author Closing Comment

by:mustish1
ID: 41719686
Thanks.
0
 

Author Comment

by:mustish1
ID: 41719692
I MA NOT SURE IF  THIS IS CORRECT?

P(Brand A if Age≥18​) =            42  / 49                                                    
​P(Brand B if Age≥18​) =            42  / 49                                                    
                                                                 
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​) =      42  /98                                                        
​P(Brand B if Age≥18​) =        42   / 98
0

Featured Post

Independent Software Vendors: 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

With the shift in today’s hiring climate (http://blog.experts-exchange.com/ee-blog/5-tips-on-succeeding-in-the-new-gig-economy/?cid=Blog_031816), many companies are choosing to hire freelancers to get projects completed efficiently and inexpensively…
An introduction to the wonderful sport of Scam Baiting.  Learn how to help fight scammers by beating them at their own game. This great pass time helps the world, while providing an endless source of entertainment. Enjoy!
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…
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…
Suggested Courses

916 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