Upon reviewing the recent use of conference rooms at an engi…

Upоn reviewing the recent use оf cоnference rooms аt аn engineering consulting firm, аn industrial engineer determined the following probability distribution for the number of requests for a conference room (i.e., demand of rooms for meetings): X (number of rooms needed on a given day) 0 1 2 3 4 p(X) 0.100 0.200 0.350 0.270 0.08 If there are only 2 conference rooms available in the building (i.e., supply of rooms for meetings).a. What is the probability that the number of requests will exceed the number of rooms available? b. What is the probability that the two conference rooms will not be fully utilized? c. How many additional conference rooms are required so that the probability of denying a request is not more than 0.10? d. What is the Average of the probability distribution? rooms e. What is the Variance of the probability distribution? rooms2 f. What is the Standard Deviation of the probability distribution? rooms