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Help with Statistic Homework? PLEASE?

A brand name has a 50 percent recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 7

b. What is the probability that all of the selected consumers recognize the brand name?

c. What is the probability that at least 6 of the selected consumers recognize the brand name?

Someone please show steps

1 Answer

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  • David
    Lv 7
    5 years ago
    Favorite Answer

    .5^7 =

    0.0078125

    .78% probability all 7 recognize the brand name

    6 or 7 recognize

    P(x = 6) = 7C6 * .5^6 * .6

    P(x = 6) = 7 * .5^7

    P(6 + 7) = 7 * .5^7 + .5^7

    P(x >= 6) = .5^7(7 + 1)

    P(x >= 6) = 8 * .5^7

    0.0625

    6.25%

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