2. Suppose that P(A) 0.5, P(B)0.3, P(C) 0.25, P(AUB)0.8, P(A uC) 0.70, P(B U C) 0.40...
Suppose that P(A)0.5, P(B)0.2, P(C) 0.3, P(AnB) 0.1 and P(AnC) 0.1. Compute the following: (a) (2 points) P(AUB) b) (6 points) P(A UC) (c) (4 points) Are the events A and B independent? What about A and C? (d) (8 points) If the sets B and C are mutually exclusive sets, what is P(A U B U C)?
QUESTION If A and 8 are two mutually exclusive events and P(A) -0.5 and P(B) -0.3, then the probability of joint event AU 8 should be QUESTION 2 Does the following Venn Diagram correctly describe the event (AUB)nC O True False
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
Please I want a quick and complete solution Assume P(A)=0.3, P(B)=0.5, and P(AnB)=0.2. Then P(AUB)= Select one: O a. 0.8 b. 0.6 c.0.3 d. 0.5 Data set of temperatures is a continuous data. Select one: O True O False
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)
C)=5, n( A B C) -2, and n(AUB A universal sot U consists of 14 elements. If sets A, B, and Care proper subsets of U and (U) = 14, n(An B)=n(An C)=n( B UC)=11, determine each of the following a) n(AUB) b) n(A'UC) c) n(ANB)' a) n(AUB)- (Simplify your answer.) b) n(AUC) - (Simplify your answer.) c) n(ANB)- (Simplify your answer.) Enter your answer in each of the answer boxes
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...
S) Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5 What is the probability that (a) either A or B occurs? (b) A occurs and B does not occur? (c) both A and B occur? 4.) A forest contains twenty elk, of which five are captured, tagged and then released. Some time later, four elk are captured from this population. What is the probability that exactly two of these are tagged?...
Suppose we have two events A and B. Suppose further that P(A) - 0.1, PB)-0.2, and P(AUB) = 0.3. a. [2 marks] Calculate P(A NB) b. [2 marks] Use the mathematical definition of independence to determine if A and B are independent. Conclude in a single sentence. Use only one of the two appropriate c. [2 marks] Use the mathematical definition of mutual exclusivity to determine if A and Bare mutually exclusive. Conclude in a single sentence. MacBook Air #58...
Problem 2 Consider the following Bayesian network for detecting credit-card fraud Pa30) 0.25 pla-30-50) 0.40 p(s-male)-0.5 p(f-yes) 0.00001 Fraud Sex Age Jewelry Gas plg yeslf yes)-0.2 pg-yesy-no) = 0.01 pi yeslfyes,a s0.05 pi yesf no,a 30,s-male) 0.0001 pi yeslf-no,a 30-50,s-male) 0.0004 PV=yeslf-no,a=>50,s= male) = 0.0002 pi yeslf-no,a 30,s female) 0..0005 py-yeslf-no,a-30-50.5 emale) = 0.002 pi yesf no,a 50,s female) 0.001 Arcs (arrows) are drawn from cause to effect, eg., the stolen card used for either gas or jewelry. It means...