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Upon reviewing recent use of conference rooms at an engineering consulting firm, an industrial engineer determined...

Upon reviewing recent use of conference rooms at an engineering consulting firm, an industrial engineer determined the following probability distribution for the number of requests for a conference room per half-day: X 0 1 2 3 4 P(X=x) 0.07 0.15 0.45 0.25 0.08 a) Is this a legitimate probability distribution function? b) Currently, the building has two conference rooms. What is the probability that the number of requests will exceed the number of rooms for a given half-day? c) What is the probability that the two conference rooms will not be fully utilized on a given half-day? d) Obtain the mean, the standard deviation for the number of requests for conference rooms. e) Draw a probability histogram

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