Upon reviewing recent use of conference rooms at an engineeringconsulting firm, an industrial engineer determined the followingprobability distribution for the number of requests for aconference room per half-day: X 0 1 2 3 4 P(X=x) 0.07 0.15 0.450.25 0.08 a) Is this a legitimate probability distributionfunction? b) Currently, the building has two conference rooms. Whatis the probability that the number of requests will exceed thenumber of rooms for a given half-day? c) What is the probabilitythat the two conference rooms will not be fully utilized on a givenhalf-day? d) Obtain the mean, the standard deviation for the numberof requests for conference rooms. e) Draw a probabilityhistogram
