a study determined that 4 of children under 18 years old liv
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
Solution
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
