Question: = 2. A certain system can experience three different type of defects. Let A (i 1,2,3) denote the event the system has defect of

2. A certain system can experience three different type of defects. Let A(i 1,2,3) denote the event the system has defect of type i. Suppose that (a) What is the probability that the system has both type 1 and type 2 defect (b) What is the probability that the system has at least one type of defect (c) What is the probability that the system has type 1 defect but not type 2

= 2. A certain system can experience three different type of defects. Let A (i 1,2,3) denote the event the system has defect of type i. Suppose that P(A) = .2, P(A) = .07, P(A3) : .05P(A U A) = .13 P(A U A3) = .14, P(A2 U A3) = .1P(A A A3) = .01 (a) What is the probability that the system has both type 1 and type 2 defect (b) What is the probability that the system has at least one type of defect (c) What is the probability that the system has type 1 defect but not type 2

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