Let A and B be events such that P(A) 0.59, P(B)-0.2 a) Draw the corresponding Venn diagcam 4. 7, and P(A and B) = 0.18. 0.2 c) Calculate P(A or B) PUR ) PCB PCand d) Calculate.P(AC and B) d B independent? If not, explairymathematically.
Let A, B be events such that P(A) = 1/3 , P(B) = 1/4 , and P(AB) = 1/6. Find the following and write in words what events a)-d). Example: AB' means that either A occurs or B does not occur. HINT: draw a diagram. a) P(A' B') b) P(A' B) c) P(A' u B) d) P(A' B') We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
2. a) Let A and B be two events such that P(A) 4, P(B) .5 and P(AnB) 3 Find P(AUB). b) Let A and B be two events such that P(A)-5, P(B) 3 and P(AUB) .6. Find P(An B)
Let A and B be events such that A c B. Also, let P(A) = 0.30, and P(B) = 0.45. Calculate the following probabilities. Hints: Venn Diagrams will be useful. Remember the axioms of probability (a) P(AUB) (b) P(Ac) (c) P(An B) (d) P(Acn B)
Let A and B be events with probabilities P(A)-3/4 and P(B)-1/3 (a) Show that 12 3' (b) Let P(AnB) - find PA n Bc).
Tesponse. Question 6 Let A and B be two events, such that P(A)=0.6, P(B)=0.4 and P((not A) and (not B))=0.2. (6 Please give your answer as simplified fraction or decimal number (e.g. 3/4 or 0.75) a) Find P(A or B)= 0.76 b) Find P((not A) and (B))= || I c) Find P( AB)=
9) Let.4, B and Cbe independent events with P(A)-0.1, P(B) 0.7, and P(C) 0.9. Find P(A and B and C). A) 0.078 B) 0.037 C) 0.063 D) 0.07
Exercise 14. Let A, B, C, and D be events for which P(A or B)-06, P(A) = 0.2, P(C or D) = 0.6, and P(C):05. The events A and B are mutually exclusive, and the events C and D are inde- pendent. (a) Find P(B). (b) Find PD).
1) Let A, B and C be three events with P(A) = 94%, P(B) = 11%, and P(C) = 4%. Answer the following questions if B and C are disjoint and P(ANC) = 3%, and P(ANB) = 8%. a. Fill the Venn diagram with probabilities of each area. Find the probability that event C does not happen on its own? (That is, either C does not happen, or it happens with other events.) c. Find the probability that at least...
1 1 Let A and B be independent events with P(A) = 3 and P(B) = 3 : Find P(A n B) and P(AUB).