<PRE><B>Question 1129958</B>
.99 of the incarcerated population is adults and .07 of these are female.


the probability that the incarcerated person is a female, given that the person is an adult would be .07 * .99 = .0693.


the formula used is p(a given b) = p(a and b) / p(b)


p(a) is probability the incarcerated person is female.
p(b) is probability the incarcerated person is an adult.
p(a given b) is probability the incarcerated person is female given that she is an adult.
p(a and b)is probability the incarcerated person if a female and an adult.


p(a given b) = .07
p(b) = .99


p(a given b) = p(a and b) / p(b) becomes .07 = p(a and b) / .99


solve for p(a and b) to get:


p(a and b) = .07 * .99 =.0693.



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