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A certain system can experience three different types of defects. Let Ai, i = 1, 2, 3 be the event that the system has a
A certain system can experience three different types of defects. Let Ai, i = 1, 2, 3 be the event that the system has a defect of type i. Suppose that P(A1 )=.17, P(A2)=0.07, P(A3)=O.13, P(A1UA2 )=0.18, P(A2 UA3)=0.18, P(A1 UA3 )=0.19, and P(A10A20A3)=.01. Let the random variable X be the number of defects that are present. Find E(X) Find V(X). Give four decimal places for your answer. Find 0, the standard deviation of X. Round your answer to three decimal places
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