Needing help with these two questions please.
Needing help with these two questions please. 4.20 A and B are events defined on a...
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
A and B are two events such that P(A) = 0.4, P(B) = 0.5, and P(A|B) = 0.3. Find P(A and B). Select one: a. 0.6 b. 0.15 c. 0.12 d. 0.2
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4,...
1. Events A and B are defined on a sample space S such that P((A ∪ B) C) = 0.5 and P(A ∩ B) = 0.2.If P(A) = 0.3, what does P((A ∩ B) | (A ∪ B) C) equal?
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
4.19 If P(A) 0.7, P(B)0.6, and A and B are independent, find P(A and B). PREFE 4.20 If P(A) 0.3, P(B)0.4, and P(A and B) 0.2, are A and B independent? Name-E Store B
3. Suppose that A and B are two events defined over the same sample space, with probabilities P(A) 3/4 and P(B)- 3/8. (a) Show that P(A UB) 2 3/4. (b) Show that 1/8 < P(AB) 3/8 (c) Give inequalities analogous to (a) and (b) for P(A) 2/3 and P(B)1/2.
1. (15pts) Events A, B and C are such that P(A) = 0.7, P(B) = 0.6, P(C) = 0.5, P(AnB) = 0.4 , P(AnC) = 0.3, P(BnC) = 0.2, P(AnBnC) Find (a) either B or C happens (b) at least one of A, B, C happens; c) exactly one of A, B, or C happens. 0.1.
10. Suppose that A and B are mutually exclusive events for which P(A) 0.4,P(B) 0.3. The probability that neither A nor B occurs equals a) 0.6 b) 0.1 c)0.7 d0.9