I thnk the asnwer is false am i Wrong?
asked May 16 in Statistics Answers by anonymous

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

P(B|A)=P(A∩B)/P(A) and P(A|B)=P(A∩B)/P(B).

P(A)=0.60, P(B)=0.40, P(B|A)=0.60, so P(A∩B)=0.60×0.60=0.36.

Therefore P(A|B)=P(A∩B)/P(B)=0.36/0.40=0.90.

So 0.24 is wrong.

A Venn diagram shows the problem more clearly. Two interlocking circles represent P(A) and P(B) and the region where they overlap is P(A∩B). This region belongs to both circles, and it is a proportion of each circle taken separately. As a proportion of the P(A) circle it represents P(B|A) and as a proportion of the P(B) circle it represents P(A|B). These proportions are what have been calculated above: the overlap region is a smaller proportion of the larger circle (P(A)) than of the smaller circle (P(B)).

answered May 17 by Rod Top Rated User (559,640 points)

Related questions

0 answers
asked Feb 5, 2014 in Statistics Answers by anonymous | 57 views
0 answers
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,275 questions
85,405 answers
2,164 comments
68,894 users