Based on recent records, the manager of a car painting center has determined the following probability distribution for the number of customers per day. x 0 1 2 3 4 5 f(x) 0.05 0.19 0.23 0.19 0.12 0.22 if the center has the capacity to serve two customers per day, (a) what is the probability that one or more customers will be turned away on a given day ? equation editorequation editor (b) what is the probability that the center's capacity will not be fully utilized on a day ? equation editorequation editor (c) by how much must the capacity be increased so the probability of turning a customer away is less than 0.10 ? equation editorequation editor (d) find the mean and standard deviation of x.