Question 740651: A company that makes toothpaste has developed a new honey flavour. As part of their market research they get 50 supermarket customers to give their contact details and to taste it. Of the 50 tasters, 31 said they liked the new flavour. Five of the 50 customers must be chosen randomly to answer an in-depth interview.
(a) Let X be the number of interviewees who like the new flavor. State, with reasons, what probability distribution should be used for the distribution of X.
(b) What is the probability that of the five chosen customers, more than half will like the new flavour?
(c) What is the probability that of the five chosen customers, none will like the new flavour?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A company that makes toothpaste has developed a new honey flavour. As part of their market research they get 50 supermarket customers to give their contact details and to taste it. Of the 50 tasters, 31 said they liked the new flavour. Five of the 50 customers must be chosen randomly to answer an in-depth interview.
(a) Let X be the number of interviewees who like the new flavor. State, with reasons, what probability distribution should be used for the distribution of X.
------
Binomial Distribution with n = 5 ; p(like) = 31/50
-----
(b) What is the probability that of the five chosen customers, more than half will like the new flavour?
P(3<=x<=5) = 1 - binomcdf(5,31/50,2) = 0.7165
-------------------------------------
(c) What is the probability that of the five chosen customers, none will like the new flavour?
P(x = 0) = binompdf(5,31/50,0) = 0.0079
=============================================
Cheers,
Stan H.
|
|
|
