Using historical records, the personnel manager of a plant has determined the probability distribution of X, the number of employees absent per day.
x 0 1 2 3 4 5 6 7
P(x) 0.005 0.025 0.31 0.34 0.22 0.08 0.019 0.001
a. Find the following probabilities:
P(2 ≤ X ≤ 5)
b. Calculate the mean of the population
c. Calculate the standard deviation of the population
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