Your Banner Here

   [Show all top banners]

Racheeta
Replies to this thread:
geico 5549 days ago
Racheeta 5547 days ago
khoi_k_khoi_k 5547 days ago

More by Racheeta
What people are reading
Subscribers
Subscribers
[Total Subscribers 2]

Shyam Sundar Swonepa
poozaree
:: Subscribe
Back to: Kurakani General Refresh page to view new replies
 Probability Distribution ? HELP HELP
[VIEWED 6178 TIMES]
SAVE! for ease of future access.
Posted on 09-10-09 3:37 PM     Reply [Subscribe]
Login in to Rate this Post:     0       ?    
 

The manufacurer wishes to copare the taste appeal of a new formula (formula B) with that of the standard formula (formula A) . Each of four judges is given three glasses in a random order, two containing formula A and the other containing formula B. Each judge is asked to state which glas he most enjoyed. suppose that two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula:
a) Find the probability function for Y
b) what is the probability that at least three of the four judges state a preference for the new formula?
c) Find Expected values of Y
d) Find the variance of Y
 
Posted on 09-10-09 7:29 PM     Reply [Subscribe]
Login in to Rate this Post:     0       ?    
 

If I have understood your question correctly it can be modeled with binomial distribution. 

Part a).
The probability function of Y is:
f(y) = (n choose y)*p^y*(1-p)^(n-y)

where 0 =< y =< 4, n = 4, and probability of choosing new formula (p) = 1/2

Part b).
P( Y => 3) = 1 - P(Y =< 3)

P(Y =< 3) = Summation {f(y)} 

Part c).
E(Y) is mean of Y and mean of binomial distribution is n*p

E(Y) = np

Part d).
Variance of binomial distribution is n*p*(1-p)

Now you plug in the numbers and you should get the answers. I hope that helps... good luck with that!
 
Posted on 09-12-09 5:16 PM     Reply [Subscribe]
Login in to Rate this Post:     0       ?    
 

Thank you so much..
I've one confusion here. isn't the probability of choosing new formula would be 1/3 instead of 1/2 ?

Thanks.
 
Posted on 09-12-09 5:45 PM     Reply [Subscribe]
Login in to Rate this Post:     0       ?    
 

I also think that probability of new formula is 1/3, (one new formula and 2 old one)
 

Please Log in! to be able to reply! If you don't have a login, please register here.

YOU CAN ALSO



IN ORDER TO POST!




Within last 30 days
Recommended Popular Threads Controvertial Threads
TPS Re-registration case still pending ..
and it begins - on Day 1 Trump will begin operations to deport millions of undocumented immigrants
I hope all the fake Nepali refugee get deported
Those who are in TPS, what’s your backup plan?
To Sajha admin
All the Qatar ailines from Nepal canceled to USA
MAGA मार्का कुरा पढेर दिमाग नखपाउनुस !
Travel Document for TPS (approved)
MAGA and all how do you feel about Trumps cabinet pick?
NOTE: The opinions here represent the opinions of the individual posters, and not of Sajha.com. It is not possible for sajha.com to monitor all the postings, since sajha.com merely seeks to provide a cyber location for discussing ideas and concerns related to Nepal and the Nepalis. Please send an email to admin@sajha.com using a valid email address if you want any posting to be considered for deletion. Your request will be handled on a one to one basis. Sajha.com is a service please don't abuse it. - Thanks.
Sajha.com Privacy Policy

Like us in Facebook!

↑ Back to Top
free counters