10. S B A 0.30 0.10 0.45 0.15 a. P(BIA) b. P(B) c. Are events B & A independent? 16. Let W be a random variable modeled as a binomial with p = 0.42 and n = 35. a. Find the exact value of P(W = 15) by using the binomial probability formula. b. Find the approximate value of P(14 <W < 16) by using a normal curve approximation. C. Round the probabilities in parts a. and b. to two...
1. Let A, B and C be events in the sample space S. Use Venn Diagrams to shade the areas representing the following events (32 points) a. AU (ANB) b. (ANB) U ( AB) C. AU ( ANB) d. (AUB) N (AUC)
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.
C3. Let A and B be events associated with sample space S. Using the axioms of probability and possibly the consequences of them to show that P(AUB) P(A) +P(B).
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...
please explain the answer. C3. Let A and B be events associated with sample space S. Using the axioms of probability and possibly the consequences of them to show that P(AUB) P(A) +P(B).
Given the following: A, B, and C are events. P[A] = 0.3 P[B] = 0.3 P[C] = 0.55 P[A intersect B] = 0 P[A' intersect B' intersect C'] = 0.1 P[A intersect C'] = 0.2 (i) Write a set expression for each of the following events a through d. (ii) Find the probability of the event. (Please show all work. Use venn diagrams if necessary). (a) At least one of the events A, B, or C occurs. (b) Exactly one...
Let and B be events in a sample space S, and let C = S - (AUB). Suppose P(A) = 0.8, P(B) = 0.2, and P(An B) = 0.1. Find each of the following. (a) P(AUB) (b) P(C) (c) PAS (d) PLAC BC) (e) PLACUBS (1) P(BCnc)
Hint Draw venn diagrams: Let Cand D be events. Suppose the probability that neither C or D occurs p(C'nD') is 4/5. What is the probability that one or both p(C U D) occur? (1 pt) 2.
let A and B be any 2 events with p(A)=0.2; P(AUB)=0.35; P(A and B)= 0.15 find P(A|B) QUESTION 25 Let A and B be any 2 events with p(A) 0.2; P(AUB) 0.35; P(A and B) 0.15 a.0.25 Find P(A|B) b.0.5 c.0.6 d.0.4