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27 October, 16:20

certain insecticide kills 60% of all insects in laboratory experiments. A sample of 13 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 4 insects will survive? Round your answer to four decimal places.

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  1. 27 October, 19:01
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    0.0243

    Step-by-step explanation:

    In this question, we are asked to calculate the probability that if a certain insecticide having a particular potency rate is applied to a sample number of insects, exactly 4 will die.

    Let's proceed.

    The best Way around this is the use of Bernoulli trial.

    Let the probability of death be p = 60/100 = 0.6

    If the probability of living is q, its value would be 40/100 = 0.4

    Now, let's write the Bernoulli trial equation

    Probability of exactly 4 deaths will be;

    13C4 * p^4 * q^9

    = 715 * 0.6^4 * 0.4^9

    = 0.024291311616

    Let's say approximately 0.0243
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