2. A certain system can experience three different types of defects. Let A denote the event...
A certain system can experience three different types of defects. Let A (i denote the event that the system has a defect of type i 1,2,3) Suppose that P(A1).14 P(A2) 10 P(A3) .13 a. What is the probability that the system does not have a type 1 defect? b. What is the probability that the system has both type 1 and type 2 defects? c.What is the probability that the system has type 1 and type 2 defects but not...
A certain system can experience three different types of defects. Let A, i1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. p(A1)-0. 10 P(A2)-0.08 P(As)-0.06 (a) Given that the system has a type 1 defect, what is the probabilty that it has a type 2 defect? (Round your answer to four decimal places.) (b) Given that the system has a type 1 defect, what is the probability that it...
(6) 2. A certain system can experience three different types of defects. Let A, i 1,2,3 denote the event that the system has a defect of type i. Suppose that P(Ag) . 13, PAs) 14, P(A2 U As) 21, a) What is the probability that the system does not have a defect of type 2? b) What is the probability that the system has a type 2 defect but not a type 3 defect ? c) What is the probability...
A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true PA)-0.12 P(A2)-0.08 P(As)-0.05 (a) Given that the system has a type 1 defect, what is the probabilty that it has a type 2 defect? (Round your answer to four decimal places.) (b) Given that the system has a type 1 defect, what is the probability that it has...
A certain system can experience three different types of defects. Let A (i1, 2, 3) denote the event that the system has a defect oftype i. Suppose that: P(A)-0.12; P(A2)-0.07; P(A3)-0.05 a. b. c. d. What is the probability that they system does not have a type 1 defect? What is the probability that the system has both type 1 and type 2 defects? What is the probability that the system has both type 1 and type 2 defects but...
A certain system can experience three different types of defects. Let Aj 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. PA1)-0.15 PIA2)-0.13 PIA3)-0.11 P(A1 UA2) 0.25 PA1 UA3)-0.23 P(A2 U A3 PA1 A2 n A3)-0.01 (a) What is the probability that the system does not have a type 1 defect? b) What is the probability that the system has both type 1 and type 2 defects? (c) What...
A certain system can experience three different types of defects. Let A (i 1,2,3) denote the event that the system has a defect of type i. Suppose that PLAI) = 0.33. P(A2) = 0.37. P(43) = 0.37, P(A1 UA2) 0.58, P(A1 U A3) 0.63 (a) Find the probability that the system has exactly 2 of the 3 types of defects. (b) Find the probability that the system has a type 1 defect given that it does not have a type...
A certain system can experience three different types of defects. Let A (i 1,2,3) denote the event that the system has a defect of type i. Suppose that PLAI) = 0.33. P(A2) = 0.37. P(43) = 0.37, P(A1 UA2) 0.58, P(A1 U A3) 0.63 (a) Find the probability that the system has exactly 2 of the 3 types of defects. (b) Find the probability that the system has a type 1 defect given that it does not have a type...
Parts e and f
2. A certain system can experience three different types of defects. Let A, i 1,2,3 denote the event that the system has a defect of type i. Suppose that P(A) .13, P(A) .14, P(A2 U A3-21, P(A1 U A2) .29, P(Ain As) .07, P(A1 n A2N As) .02. a) What is the probability that the system does not have a defect of type 2? b) What is the probability that the system has a type 2...
A certain system can experience three different types of defects. Let A, (i-1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true p(A1) = 0.12 p(%) = 0.08 p(A1) = 0.05 p(A1 UA2)-0.14 P(A1 u A3)-0.14 PA2 UAs)-0.11 P(A1 n A2 n A3)-0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? (Round your answer to four decimal...