1. The probabilities that a market inspector will discover violations of the public health code in a public market are given in the following table. Number of Violations Probability P(X) 0.41 1 0.22 2...

Extracted text: 1. The probabilities that a market inspector will discover violations of the public health code in a public market are given in the following table. Number of Violations Probability P(X) 0.41 1 0.22 2 0.17 3 0.13 4 0.05 5 0.02 a. What is the probability that a market inspector will discover, at least, two violations of the public health code? b. What is the probability that a market inspector will discover, at most, three violations of the public health code? c. What is the probability that a market inspector will discover at least two, but fewer than four violations of the public health code? d. What is the mean of the probability distribution? e. What are the variance and the standard deviation of the probability distribution?