Posted by Tifini on Tuesday, July 17, 2012 at 4:43pm.
Among a group of people, 10% are from NYC and 90% are not. All people from NYC are under 18 years old, and 60% of those not from NYC are also under 18 years old. One person is chosen at random, and he or she is under 18. What is the probability that the person chosen is from NYC? Round your answer to two decimal places.
how would i set this problem up and solve it??
- conditional probability - MathMate, Tuesday, July 17, 2012 at 10:21pm
N=from NYC, hence N'=not from NYC
A=adolescents under 18, hence A'=over 18
P(A|N)=1.0 (prob. of under 18 given person is from NYC)
P(A|N')=0.6 (prob. of under 18 given given person is from elsewhere)
probability of finding a person under 18,
P(A)=P(A|N)*P(N)+P(A|N')*P(N') [ Bayes thm]
Now we look for the probability that someone is from NYC given she's under 18
=P(N∩A)/P(A) [cond. prob.]
=P(A|N)P(N)/P(A) [Bayes Thm]
Answer This Question
More Related Questions
- Math - Among a group of people, 10% are from NYC and 90% are not. All people ...
- Probability - Among a group of people, 10% are from NYC and 90% are not. All ...
- integrated math 1- please help!!! - Among a group of people, 10% are from NYC ...
- math - how do i solve this: a Train leaves Poughkeepsie to grand central station...
- college math - biostatistics - hey... first time user and really lost. wondering...
- Statistics - 1. of 500 randomly selected people in new york city, 210 people had...
- algebra - A person is 3 times as old as aonther person but in 15 years she will ...
- statistics - Based on data from a statistical abstract, only about 12% of senior...
- Statistics - In the following question, identify which choices would be ...
- Math - Hi can someone please help me? A recent study gave the information shown ...