Statistics for Business: Decision Making and Analysis, 3rd Edition

Exercises

Mix and Match

Match the item from the first column to the best item from the second.

1. Probability of B given A	(a) P(A and B) = P(A) × P(B|A)
2. Probability of Bc given A	(b) P(A|B) = P(B|A) × P(A)/P(B)
3. Identifies independent events	(c) P(A) = P(A|B)
4. Identifies dependent events	(d) 1 − P(B|A)
5. Bayes’ Rule	(e) P(A) ≠ P(A|B)
6. Multiplication Rule	(f) P(A and B)/P(A)

True/False

Mark each statement True or False. If you believe that a statement is false, briefly say why you think it is false.

Exercises 7–14. An administrator tracks absences among the staff working in an office. For each employee, define the events.

$$\begin{array}{lll}\text{A}\hfill & =\hfill & \left\{\text{employee is absent}\right\}\hfill \\ \text{K}\hfill & =\hfill & \left\{\text{employee is sick}\right\}\hfill \end{array}$$

Let A₁ and K₁ refer to one employee and let A₂ and ...