1. Prove each of the following statements (assume that any conditioning event has positive probability). (a) If A is subset of B then P(B|A)=1 and p(A|B)=P(A)/P(B). (b) If A and B are mutually exclusive, then p(A|A u B)=((P(A)/((P(A)+P (B)) (C) P(A n B n C)= P(A|B n C) P( B|C) P(C) I"m really having problem in doing these. could someone help me out?
You just need to use the rules/identities of probability: P(X|Y) = P(XnY)/P(Y) and if A < B, then P(AnB)= P(A) since AnB=A, and P(AuB)=P(B) since AuB=B if A and B are mutually exclusive then P(AnB)=0 and P(AuB)=P(A)+P(B) the third follows from repeatedly applying the formula for conditional probability.
helps him pass his class so it helps one person then it helps his parents so they have to pay less for when he goes to college if he is still in high school so then the fincacial benefits spread through is family so in the end it could help a lot of people plus he prob learn how to do in class tomorrow but if u dont' have hw u get 0
You think feeding him homework solutions makes him a better student and improves his odds of scoring higher in SATs (or whatever) ?
"If you give a man a fish, he will eat for a day. If you teach a man to fish, he will never work another day in his life!"
Or: If you give a man a fish he will eat for a day. If you teach a man to fish he will drink beer, tell lies and wear a stupid hat.
Thanks you all for answering my "off-topic" question ! (although Galileo's version looks suspicous to me (^_^)