For events C and D, P(C) = .20, P(C | D) = .30, and P(D) = .40. Find P(Cc|D) and P(C |Dc)
1. Consider dependent events C and D. P(C and D) = 0.018, P(C) = 0.3, P(D) = 0.5 Find p(C|D) and P(C|D) 2. Consider dependent events E and F P(E and F) = 0.072, P(E) = 0.06, P(F) = 0.09. Find P(F|E) 3. Consider dependent events A and B. P(A and B) = 0.036, P(A) = 0.12, P(B) = 0.4. Find P(A|B)
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) Events A, B, C, and D are mutually exclusive and collectively exhaustive. If P(A or B) = .44. Circle all of the following that are possible? a) P(C or D) > .56 b) P(C and D) = .56 c) P(A and D) = 0 d) P(A) = .5 2) You have 10 members of a team. How many ways could you pick 3 captains (order does not matter)? a) 720 b) 30 c) 120 ...
Consider an experiment with sample space S and events A,B,C, and D with the following probabl ities: P(AUB)-, P(A)- , P(Cn D) , PC)- . Furthermore, A and B are mutually exclusive (i.e. AnB-), while C and D are independent (i.e. P(CND) P(C)P(D)). Note: I know this looks like a lot of parts, but these are all short, quick answers!) ' (a) Find P(AnB (b) Find P(B) (c) Find P(A กั Bc). (d) Find P(AUBe) (e) Are A and B...
a) Draw a spinner with the following probabilities: P(A) = 20%, P(B) = 40% P(C) = 10%, P(D) = 30%. b) Find the probability of the spinner landing on B or C.
For any events A, B, C, and D = A∩B∩C prove the following equality: P(D^c) = 1−P(A)·P(B | A)·P(C | A∩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...
4.2.16 Use the contingency table below to find the following probabilities a. AlB d. Are events A and B independent? b. A/B c. AB. В' 40 20 30
Question 4 You are given the following information on Events A, B, C, and D. P(A) = .5 P(B) = .3 P (C) = .15 P(A U D) = .7 P(A ∩ C) = 0.05 P (A │B) = 0.22 P (A ∩ D) = 0.25 Compute P(D). Compute P(A ∩ B). Compute P(A | C). Compute the probability of the complement of C. What does it mean to be mutually exclusive? Give an example of two events that are...
Consider four events (A, B, C, and D) for which we know P(A) = 0.20, = 0.15, P(B’) = 0.95, P(C) = 0.35, P(D) = 0.45, = 0.3. A Venn diagram for the 4 events is given below. What is ? a. 0.05 b. 0.20 c. 0.25 d. 0.3