Question: An office has four copying machines, and the random variable X measures how many of them are in use at a particular moment in time.

An office has four copying machines, and the random variable X measures how many of them are in use at a particular moment in time. Suppose that P(X =0) =0.08. P(X = 1) = 0.11, P(X = 2) = 0.27, and P(X = 3) = 0.33.
(a) What is P(X = 4)?
(b) Construct and plot the cumulative distribution function.

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