The probability that a lab specimen contains high levels of contamination is 0.12. A group of 4 independent samples are checked. Round your

Question

The probability that a lab specimen contains high levels of contamination is 0.12. A group of 4 independent samples are checked. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that none contain high levels of contamination

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Bella 3 days 2021-10-12T12:51:46+00:00 1 Answer 0

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    2021-10-12T12:53:27+00:00

    Answer:

    0.5996 is the probability that none contain high levels of contamination.

    Step-by-step explanation:

    We are given the following information:

    We treat  lab specimen containing high levels of contamination as a success.

    P( lab specimen containing high levels of contamination) = 0.12

    Then the number of lab specimens follows a binomial distribution, where

    P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

    where n is the total number of observations, x is the number of success, p is the probability of success.

    Now, we are given n = 4

    We have to find the probability that none of the lab specimen consist of high level of contamination.

    We have to evaluate:

    P(x = 0)\\= \binom{4}{0}(0.12)^0(1-0.12)^{(4-0)}\\= 0.5996

    0.5996 is the probability that none contain high levels of contamination.

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45:7+7-4:2-5:5*4+35:2 =? ( )