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Binomial Probability of Child's Hair Color

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The probability that a couple will have a child with black hair is 0.6.
If this couple has 7 children what is
(a) the probability that exactly 3 of these children have black hair ?
(b) the probability that no more than 2 of their children have black hair ?
(c) the probability that none of the children have black hair
(d) what is the mean number of their children that have black hair and what is
the variance ?

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This solution exemplifies binomial probability for child's hair color.

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