Let X denote the number of patients who suffer an infection Within a oor of a hospital per month with the following probabilities: X 0 1 2 3 4 5 P(X = x) 0.1 0.15 0.25 0.25 0.175 0.075 Determine the following: (a) Probability of less than one infection (b) Probability of more than three infections (c) Probability of at least one infection (d) Probability of no infections (e) F(x) (f) Mean and Variance (g) P(X > 1.5) (h) P(X