SOLUTION: Let P(A)=.49 P(B)=.65 and the A intersect B = .35 Are events A and B disjoint (mutually exclusive)? Explain why or why not. Are events A and B independent? Explain why or

Algebra ->  Probability-and-statistics -> SOLUTION: Let P(A)=.49 P(B)=.65 and the A intersect B = .35 Are events A and B disjoint (mutually exclusive)? Explain why or why not. Are events A and B independent? Explain why or       Log On


   



Question 1024845: Let P(A)=.49 P(B)=.65 and the A intersect B = .35
Are events A and B disjoint (mutually exclusive)? Explain why or why not.
Are events A and B independent? Explain why or why not.
Find the probability of A union B.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A and B are NOT disjoint, because P(A∩B) is not equal to 0.
A and B are NOT independent, because P(A∩B) is not equal to P(A)*P(B). (Verify directly!)
P(A u B) = P(A) + P(B) - P(A ∩ B) = 0.49 + 0.65 - 0.35 = 0.79