Posted by dee on .
Smitty's Bar and Grill has brand name recognition of 61% around the world. Assuming we randomly select 2 people. The assumptions of a Bernoulli process are met. What is the probability
a)exacatly 5 of the 12 recognize the name of Smitty's Bar and Grill?
b)5 or fewer recognize Smitty's Bar and Grill
c)more than 5 recognize Smitty's Bar and Grill?
d) no one in the sample ever heard of Smitty's Bar and Grill

probabilty 
Anonymous,
i think it is b) beacuase thet had only asked 2 people how can they get results by asking two people they have to ask more than 2 people to see.

probabilty 
Reiny,
I have a strong feeling that you have a typo, and that you meant to say,
"Assuming we randomly select 12 people. "
Please confirm. 
probabilty 
Anonymous,
if it is 12 people she meant then the answer would be c)

note to "anonymous" 
Reiny,
These are not multiple choice answers, they are individual questions

To dee , probabilty 
Reiny,
a) prob that exactly 5 out of 12 will recognize
= C(12,5)(.61)^5(.39)^7
= appr 0.0918
b)
prob = C(12,0)(.61)^0 (.39)^12 + C(12,1)(.61)^1 (.39)^11 + ... + C(12,5)(.61)^5 (.39)^7
c) prob = 1  (answer to b)
d) prob = C(12,0)(.61)^0 (.39)^12
= .00001238