Refer to Exercise 4.80 and obtain the

(a) mean;

(b) variance;

(c) standard deviation for the number of requests for conference rooms.

Data From Exercise 4.80

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4.80 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 f(x) 0 .07 .15 2 .45 3 .25 4 .08 (a) 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? (b) What is the probability that the two conference rooms will not be fully utilized on a given half- day? (c) How many additional conference rooms are re- quired so that the probability of denying a request is not more than 0.10?