Using historical records, the personnel manager of a plant has determined the probability distribution of X, the number of employees absent per day.

It is:

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)

P(X >5)

P(X

b. Calculate the mean of the population

c. Calculate the standard deviation of the population

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