Given the following information about events A, B. and C, determine which pairs of events,if any,...
Question 19 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)P(B)P(C)=0.26=0.5=0.45P(A|B)P(B|C)P(C|A)=0.26=0=0.26 Select all correct answers. Select all that apply: B and C are independent A and C are mutually exclusive A and B are independent A and C are independent B and C are mutually exclusive A and B are mutually exclusive
Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs and mutually exclusive. P(A)=0.78 P(B)=0.34 PC) -0.21 P(BA) =0.78 P(CB) =0.21 PAC) =0.21 Elect all that apply: O A and C are independent O A and B are independent O A and B are mutually exclusive OB and C are independent
Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs and mutually exclusive. P(A)=0.02 P(A|B)=0 P(B)=0.02 P(C|B)=0.15 P(C)=0.15 P(A|C)=0.02
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).
4. Basic Computation: Addition Rule Given P(A) = 0.7 and P(B) = 0,4 (a) Can events A and B be mutually exclusive? Explain. | (b) If P(A and B) = 0.2, compute P(A or B). 3. Basic Computation: Multiplication Rule Given P(A) = 0.2 and P(B) = 0.4: (a) If A and B are independent events, compute P(A and B). (b) If P(AIB) = 0.1, compute P(A and B). 6. Basic Computation: Multiplicat (a) If A and B, are independent...
Events A and B are if the following is true: P(AB) - P(A) and P(BIA) = P(B) and P(A AND B) - P(A)P(B) Mutually Exclusive Events Point Estimate Independent Events Hypothesis
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)
You are given the following information on Events A, B, C, and D. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /?> P(A) = 0.4 P(A ? D) = 0.6 P(B) = 0.2 P(A?B) = 0.3 P(C) = 0.1 P(A ? C) = 0.04 P(A ? D) = 0 .03 a. Compute P(D). b. Compute P(A ? B). c. Compute P(A?C). d. Compute the probability of the complement of C. e. Are A and B mutually exclusive? Explain your answer. f....
. Events A and C are mutually exclusive, and Events A and B are independent. ?(?) = 0.1,?(?) = 0.3, and ?(?) = .45. Calculate the following probabilities: a. ?(? AND ?) b. ?(?|?) c. ?(? AND ?)
2.30 Probability of independent events. Given two independent events A and B with PIA 0.3, PB 0.4, find (a) P[AU B; (b) P[AB); (c) P[BIA); (d) P BA)