Q6 You have two machines. Machine 1 has a lifetime T which is exponentially distributed with parameter A1, and Machine 2 has a lifetime T, which is exponentially distributed with parameter X, and is independent of T. Machine 1 starts at time 0, and Machine 2 starts at a time T > 0. Q6(i.) Assume that T is deterministic. Compute the probability that Machine 1 is the first to fail. Q6(ii.) Answer the same question when T is exponentially distributed with parameter µ and is independent of T1 and T2.

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A: Standard Error of a sample proportion is given by:

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A: From the given information we conduct Hypothesis test.

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A: Confidence Interval will be given by CI = Sample statistic +/-  Margin of errorMargin of error =…