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Shadow Killer
Shadow Killer asked in Science & MathematicsMathematics · 7 years ago

Statistics help?

A brand name has a 60% acceptance rate. The owner of the brand wants to verify that rate beginning with a small sample of five.

1.)The probability that exactly 4 out of 5 will recognize the brand name is....

2.)What is the probability that all of them will recognize the brand name?

3.)What is the probability that at least 4 will recognize the name?

Thanks in advance!

2 Answers

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  • ?
    Lv 7
    7 years ago
    Favorite Answer

    1) P(4) => 5C4 x (0.6)⁴ x (0.4)¹

    so, 5 x 0.1296 x 0.4 = 0.2592

    2) P(5) => 5C5 x (0.6)⁵ x (0.4)⁰

    so, 1 x 0.07776 x 1 = 0.0778

    3) P(at least 4) => P(4) or P(5)

    so, 0.2592 + 0.0778 = 0.337

    :)>

  • ?
    Lv 6
    7 years ago

    5C4(.6^4)(.4)=.2592

    .6^5=.07776

    +.2592+.07776=.33696

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