Use the table to the right to determine the probability of events What is the pr

Question

Use the table to the right to determine the probability of events What is the probability of event A? What is the probability of event A What is the probability of event A and B What is the probability of event A and B The probability of event A is (Type and integer or decimal rounded to three decimal places as needed) The probability of event A' is (Type and integer or decimal rounded to three decimal places as needed) The probability of event A and B is (Type and integer or decimal rounded to three decimal places as needed) The probability of event A and B is (Type and integer or decimal rounded to three decimal places as needed)

Explanation / Answer

Following table shows the contingency table:

(A)

The probability of event A is

P(A) = 160/230 = 0.696

(B)

The probability of event A' is

P(A') = 70/230 = 0.304

(C)

The probability of event A and B is

P(A and B) = 80/230 = 0.348

(D)

P(B) = 140/230= 0.609

By the addition rule we have

P(A or B) = P(A)+P(B)-P(A and B) = 0.696 + 0.609 - 0.348 = 0.957

B B' Total A 80 80 160 A' 60 10 70 Total 140 90 230

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