probabilty

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

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  1. 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.

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  2. I have a strong feeling that you have a typo, and that you meant to say,
    "Assuming we randomly select 12 people. "

    Please confirm.

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  3. if it is 12 people she meant then the answer would be c)

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  4. These are not multiple choice answers, they are individual questions

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  5. 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

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