Concept explainers
In this exercise, you are asked to verify that the sum of the joint probabilities in a row or column of a joint
- a. Explain why
R1 = ((R1 & C1) or or (R1 & Cn )).
- b. Why are the
events (R1 &C1), . . . , (R1 &Cn ) mutually exclusive? - c. Explain why parts (a) and (b) imply that
P(R1) = P(R1 & C1)+· · ·+ P(R1 & Cn ).
This equation shows that the first row of joint probabilities sums to the marginal probability at the end of that row. A similar argument applies to any other row or column.
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