![(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 that the system has both type 2 and type 3 defects but not a type 1 defect ? d) What is the probability that (the system has at most two of these defects [B]?](http://img.homeworklib.com/questions/e8ba7000-78c7-11ea-8726-bdf1ae433452.png?x-oss-process=image/resize,w_560)
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(6) 2. A certain system can experience three different types of defects. Let A, i 1,2,3...
A certain system can experience three different types of defects. Let A (i 1,2,3) denote the...
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...
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...
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...
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) = 0.19 P(A2) = 0.14 P(A3) = 0.13 P(A1 UAZ) = 0.27 P(A1 UA3) = 0.27 P(A2 U A3) = 0.22 P(A1 A2 A3) = 0.02 D 0.22 (a) What is the probability that the system does not have a type 1 defect? (b) What...
A certain system can experience three different types of defects. Let A; (i - 1,2,3) denote...
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(A2)-0.08 P(As) = 0.05 P(A1 U A2) 0.14 P(A U As)-0.14 P(A2 U As) = 0.11 P(A1 n A2 n As) = 0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2...
A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote...
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) = 0.11 P(A2) = 0.08 P(A3) = 0.05 P(A1 U A2) = 0.13 = 0.13 P(A2 U A3) = 0.11 P(An Azn Az) = 0.01 P(A1 UA3) (a) Given that the system has a type 1 defect, what is the probability that it has a...
4. A certain system can experience three different types of defects. Let Ai(i= 1,2,3) denote the...
4. A certain system can experience three different types of defects. Let Ai(i= 1,2,3) denote the event that the system has a defect of type i. Suppose that: P(A1) = 0.12, P(A2) = 0.07, P(A3) = 0.05, P(A1∪A2) = 0.13, P(A1∪A3) = 0.14, P(A2∪A3) = 0.10, P(A1∩A2∩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?...
A certain system can experience three different types of defects. Let A, (i 1,2,3) denote the...
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. PLA,)-0.11 RA2)-0.07 pA,)-0.05 P(A, UA2)0.12 P(A, UA3) -0.13 P(A2 U A3) 0.10 PA, A 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 places.) 9300 (b) Given that...
A certain system can experience three different types of defects. Let Aj 1,2,3) denote the event...
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 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 (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) = 0.19 P(A2) = 0.14 P(A3) = 0.13 P(A1 UAZ) = 0.27 P(A1 UA3) = 0.27 P(A2 U A3) = 0.22 P(A1 A2 A3) = 0.02 D 0.22 (a) What is the probability that the system does not have a type 1 defect? (b) 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 the following probabilities are true P(A1) = 0.12 P(A2)-0.08 P(As) = 0.05 P(A1 U A2) 0.14 P(A U As)-0.14 P(A2 U As) = 0.11 P(A1 n A2 n As) = 0.01 (a) Given that the system has a type 1 defect, what is the probability that it 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) = 0.11 P(A2) = 0.08 P(A3) = 0.05 P(A1 U A2) = 0.13 = 0.13 P(A2 U A3) = 0.11 P(An Azn Az) = 0.01 P(A1 UA3) (a) Given that the system has a type 1 defect, what is the probability that it has a...
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. PLA,)-0.11 RA2)-0.07 pA,)-0.05 P(A, UA2)0.12 P(A, UA3) -0.13 P(A2 U A3) 0.10 PA, A 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 places.) 9300 (b) Given that...
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 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...
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