a study determined that 4% of children under 18 years old lived with their fathe

Question

a study determined that 4% of children under 18 years old lived with their father only. Find the probability that exactly 2 people selected at random from 15 children under 18 lives with their father only.
Round at the end, to nearest thousandth a study determined that 4% of children under 18 years old lived with their father only. Find the probability that exactly 2 people selected at random from 15 children under 18 lives with their father only.
Round at the end, to nearest thousandth a study determined that 4% of children under 18 years old lived with their father only. Find the probability that exactly 2 people selected at random from 15 children under 18 lives with their father only.
Round at the end, to nearest thousandth

Explanation / Answer

Use binomial distribution of probability:

nCr(p)^r(1-p)^(n-r)

where p = propbability of occuerence

p = 0.04 ; 1-p = 0.96

n = 15 ; r = 2

So, Probabilityexactly 2 people selected at random from 15 children under 18 lives with their father only. :

= 15C2(0.04)^2(0.96)^13

=15!/2!13!(0.04)^2(0.96)^13

=0.099

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