In: Math
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