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28 August, 03:37

In Bangladesh, approximately 50.6% of the population is male and 49.4% of the population is female. By the Law of Large Numbers, we can take this to mean that the probability that a randomly selected birth is that of a male child is 0.506 and the probability that a randomly selected birth is that of a female child is 0.494. In a randomly selected family with six children, what is the probability that at most 2 of the children are boys? What is the expected number of boys in a randomly selected family with six children?

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  1. 28 August, 04:05
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    A) 0.015

    B) 4 bous6

    Step-by-step explanation:

    That at most 2 of the selected children are male means that number of male must be less than or equal to 2

    Pr (male) = 0.506

    Pr (female) = 0.494

    Pr (at most 2 males) = 0.506 x 0.506 x 0.494 x 0.494 x 0.494 x 0.494 = 0.015

    Expected number of boys in a randomly selected number of 6 is

    0.506 x 6 = 3.03

    We round off to 4 boys
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