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The following table denotes the probability distribution for X, the number of sick days employees at a small company take off from work in a

The following table denotes the probability distribution for X, the number of sick days employees at a small company take off from work in a given year:

X 0 1 2 3 4 5 6 7
P(X) 0.11 0.32 ? 0.00 0.35 0.00 0.00 0.13

Since there are a small number of employees, some values of X were not observed. For example, no employee had 6 sick days.

Find P(X2) and describe what this probability tells us.

Find the expected value of X and explain the meaning of this value.

Among the employees who called out sick at least once, find the probability that a selected employee had exactly one sick day.

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