What is the probability that at most 2 of the applicants will be female?

Update:

Previous research by a human resources consultancy has shown that 30% of applications for senior executive positions in the finance sector are women. Assume that the number of women who apply for senior executive positions can be modelled using a binomial distribution. A leading bank has received 6 applications for their advertised senior executive position.

a 0.500

b 0.745

c 0.571

d 0.429

e 0.666

3 Answers

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  • 2 years ago
    Favorite Answer

    Use the binomial probability formula:

    P(X = k) = C(n,k) * p^k * q^(n-k)

    n : number of "trials" (6)

    k : number of desired successes (0, 1 or 2)

    p : probability of success (0.3)

    q : probability of failure (1-p = 0.7)

    So just figure out the probability of exactly 0, 1 or 2 women applicants and add them up.

    P(X=0) = C(6,0) * 0.3^0 * 0.7^6 = 0.117649

    P(X=1) = C(6,1) * 0.3^1 * 0.7^5 = 0.302526

    P(X=2) = C(6,2) * 0.3^2 * 0.7^4 = 0.324135

    The sum is 0.74431

    Answer:

    The closest answer is b. 0.745

    • kris2 years agoReport

      thanks

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  • 2 years ago

    anything is possible

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  • 2 years ago

    There is a 100% probability that there is more to this question that you didn't supply.

    • kris2 years agoReport

      I'm add question

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