2.A certain system can experience three different types of defects. Let Ai; i = 1, 2,...

2.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(A1ÈA2)= 0.13, P(A2)= 0.07, P(A1ÈA3)=0.14, P(A3)= 0.05, P(A2ÈA3)=0.10, and P(A1ÇA2ÇA3)= 0.01.

a)What is the probability that the system has both type 1 and type 2 defects?

b)What is the probability that the system has at least one of these defects?

c)What is the probability that the system has at most two of these defects?

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Expert Solution

orchestra answered 1 year ago

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