The probability of a student graduating from college is0.7. if 7 students are selected at random;find the probability that at least 1 of the

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The probability of a student graduating from college is0.7. if 7 students are selected at random;find the probability that at least 1 of them will graduate

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38 mins 2021-10-13T12:40:07+00:00 1 Answer 0 views 0

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    2021-10-13T12:42:05+00:00

    Step-by-step explanation:

    ANSWER

    Probability that α student graduates=0.4

    (i) Probability that none of 3 students graduate=(1−0.4)×(1−0.4)×(1−0.4)

    Probability that student (1) doesn’t graduate

    ⇒0.6×0.6×0.6

    ⇒0.216

    ∴ Probability that none of 3 students graduate=0.216

    (ii) The only one will graduate.

    we select one of 3 in 3C1 ways

    his probability of passing =0.4

    remaining two fail⇒0.6×0.6

    probability =3C1×(0.4)×(0.6)×(0.6)

    =3×0.4×0.36

    Probability that only one will graduate⇒0.432

    (iii) Probability that all students graduate=(0.4)(0.4)(0.4)

    =0.064

    ∴ Probability that all will graduate=0.064.

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