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27 February, 07:29

A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 7 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 2 insects will survive? Round your answer to four decimal places.

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  1. 27 February, 10:50
    0
    0.2613

    Step-by-step explanation:

    Use binomial probability.

    P = nCr p^r q^ (n-r)

    where n is the number of trials,

    r is the number of successes,

    p is the probability of success,

    and q is the probability of failure (1-p).

    P = ₇C₂ (0.6) ⁵ (0.4) ²

    P = 0.2613
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