SOLUTION: You are given the following information about the events A, B, and C. • P(A) = 0.40 • P(B) = 0.76 • P(C) = 0.54 • P(A and B) = 0.2792 • P(B and C) = 0.4104 • P(

Algebra ->  Probability-and-statistics -> SOLUTION: You are given the following information about the events A, B, and C. • P(A) = 0.40 • P(B) = 0.76 • P(C) = 0.54 • P(A and B) = 0.2792 • P(B and C) = 0.4104 • P(      Log On


   

Question 1153540: You are given the following information about the events A, B, and C.
• P(A) = 0.40
• P(B) = 0.76
• P(C) = 0.54
• P(A and B) = 0.2792
• P(B and C) = 0.4104
• P(A and C) = 0.1913
Determine which (if any) pairs of the three events are independent.
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

Two events are INDEPENDENT (are called independent) if and only if


    P(X)*P(Y) = P(X and Y).


Using this definition, you can check if this equality is hold for any of the 3 pairs of given events.


You EASILY can do it on your own, without any help from the outside.


Happy calculations (!)  and  Happy learning (!)