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 (X) Probability P(X) 0.41 0.22 0.17 0.13 0.05 0.02 1 3 4 5. Questions: 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 is the standard deviation of the probability distribution?

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