SOLUTION: Consider the following. P(A) = 0.27 and P(B) = 0.37, and P(A and B) = 0.0999 (a) What is P(A | B)? (Give your answer correct to two decimal places.) (b) What is P(B

Click here to see ALL problems on Probability-and-statistics

Question 786221: Consider the following.
P(A) = 0.27 and P(B) = 0.37, and P(A and B) = 0.0999
(a) What is P(A | B)? (Give your answer correct to two decimal places.)

(b) What is P(B | A)? (Give your answer correct to two decimal places.)

(c) Are A and B independent?
yes no cannot be determined
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Consider the following.
P(A) = 0.27 and P(B) = 0.37, and P(A and B) = 0.0999
(a) What is P(A | B)? (Give your answer correct to two decimal places.)
= P(A and B)/P(B) = 0.0999/0.37 = 0.27
----------------------------------------------------
(b) What is P(B | A)? (Give your answer correct to two decimal places.)
= P(B and A)/P(A) = 0.0999/0.27 = 0.37
-------------
(c) Are A and B independent?
Check: P(A and B) = P(A)*P(B)
P(A and B) = 0.0999
P(A)*P(B) = 0.27*0.37 = 0.0999
-------
Their equality means A and B are independent.
----
Cheers,
Stan H.
===========