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A machine needs 4 out of its 6 identical independent components to operate. Let X1,X2,...,X6 denote the respective lifetimes of the components, and assume that

A machine needs 4 out of its 6 identical independent components to operate. Let X1,X2,...,X6 denote the respective lifetimes of the components, and assume that each component's lifetime is exponentially distributed with a mean of 1/ hours. Find

a. The CDF of the machine's lifetime.

b. The PDF of the machine's lifetime.

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