Each week your business receives orders from customers who wish to have air-conditioning units installed in their homes. From past data, you estimate the distribution of the number of units ordered in a week X to be as follows. Units ordered X 0 1 2 3 4 5 Probability 0.05 0.14 0.25 0.32 0.13 0.11 (a) Sketch a probability histogram for the distribution of X. (Do this on paper. Your instructor may ask you to turn it in.) (b) Calculate the mean of X and mark it on the horizontal axis of your probability histogram. E(X) = 2.67 (c) If you hire workers sufficient to handle the mean demand, what is the probability that you will be unable to handle all of a week's installation orders?