Answer the following questions regarding the validity of probability assignments. If you answer false, explain why the statement is false.
a. If P( A) = .2, P( B) = .3, and AnB = , then P( AU B) = .06. True or false?
b. If A n B = and P( B) = .2, then P( A I B) = 0. True or false?
c. If P( B) = .05, P( A I B) = .80, and P( A I .B) = .5, then P( B I A) = .0777 ( to four digits of accuracy). True or false?
d. If P(A) = .8 and P( B) = .7, then P( A n B) :::: .5. True or false?
e. It is possible that P( A) = .7, P( B) = .4, and AnB = 0. True or false?