Question 11 5 pts Let A, B and C be three non-empty events defined on a...
Let A, B, and C be three non-empty events defined on the sample space S, illustrated below. Find an expression for the case where two or more events occur? a. b. c. d.
#5 (4 pts.) Consider the following sample space S and events A and B. s-(-4 < x < 2, 6 < x < 12), A={-4 < x < 0}, B=(-1 x<2), A and B are: a. (mutually exclusive, independent) b. (mutually exclusive, dependent) c. (non-mutually exclusive, independent) d. (non-mutually exclusive, dependent) #6 (4 pts.) In problem #5 P(B-A)- c. 1/4 d. 1/6
Let B and C be two events such that P(B) = 0.02 and P(C) -0.02. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P (BUC), given that B and C are independent. (b) Determine P (BUC), given that B and C are mutually exclusive. X 5 ?
Question 7 A, B and C are three events, such that: - A and Care independent; -B and C are independent; - A and B are mutually exclusive; and - P(A) = 32/100, P(B) = 84/100 and P(A U C) = 77/100. Find P(A'n B).
2. Let A and B be events in a sample space such that P(A) -0.5. P(ANB) -0.3 and PLAUB)=0.8. Calculate: 1) P(AB): ii) P(BA): iii) PIBIA B): be independent of A and such that B and Care Let the event C in mutually exclusive. Calculate: iv) P(AC); v) PIANBNC). (8 Marks)
In a sample space, events A and B are independent, events B and C are mutually exclusive, and A and C are independent. a) Show that P(AUB) = P(B) + P(A)P(B') = P(A) + P(A')P(B) b) If P(AUBUC) = 0.9, P(B) = 0.5 and P(C) = 0.3 find P(A).
Question 1 1 pts Suppose A and B are mutually exclusive events in a sample space S with probabilities P(A) - 0.22 and P(B) = 0.39 respectively. What is the probability that either A or B occurs? (Round the value to the 2-nd decimal place) 0.39 0.61 0.0 Not enough information to answer the question 0.48 0.52 O 0.70
Given the following information about events A, B. and C, determine which pairs of events,if any, are independent and which pairs are mutually exclusive. P(A)-0.3 P(BIA) 0.3 P(B)0.5 P(CB) 0.33 P(C) 0.33 P(AIC)-0.33 Select all correct answers. Select all that apply: A and Care mutually exclusive D A and Care independent O Band C are independent 0 Band C are mutually exclusive D Aand B are mutualy exclusive A and B are independ
5. Consider an experiment with sample space S and events A,B,C, and D with the following probabil ities: P(AUB)-|, P(A) = P(čnD) = , P(C) = 훙 Furthermore, A and B are mutually exclusive (ie. A กั-o), while C and D are independent (ie. P(cr D) = P(C)P(D)). (Note: I know this looks like a lot of parts, but these are all short, quick answers!) (a) Find P(An (b) Find P(B) (c) Find P(AnB) (d) Find P(AUB) (e) Are A...
lamous Inalol Ted Bundy), c = 1.85 and d = 11./! 2. points) Consider three events A, B and C. Further, A and C are independent and B and Care independent. A and B are ME. PLAUC) = 1, P[BUC] = and P AUBUC] = Compute P[4), PB and PC. 3. (5 points) There are 25 men and 15 women in a group. A committee of 7 people will be chosen. In