This Question: 2 pts Use the contingency table to the right to determine the pro

Question

This Question: 2 pts Use the contingency table to the right to determine the probability of events a. What is the probability of event A? b. What is the probability of event A'? c. What is the probability of event A and B? d. What is the probability of event A or B? A 70 70 a. The probability of event A is (Type an integer or decimal rounded to three decimal places as needed) b, The probability Of event A. is Type an integer or decimal rounded to three decimal places as needed.) C. The probability of overt A and B is (Type an integer or decimal rounded to three decimal places as needed) d.The probability of event A or B (Type an integer or decimal rounded to three decimal places as needed )

Explanation / Answer

Solution:-

Total sum of contegency table = 70 + 70 + 80 + 70 = 290

a) The probability of event A is 0.5172.

N(A) = 70 + 80 = 150

The probability of event A = 150/290 = 0.5172

b) The probability of event A' is 0.4828

N(A') = 70 + 70 = 140

The probability of event A' = 140/290 = 0.4828

c) The probability of event A and B is 0.2414

N(A and B) = 70

The probability of event A and B is 70/290 = 0.2414

d) The probability of event A or B is 0.7586.

N(A or B) = 70 + 70 + 80 = 220

The probability of event A or B is 220/290 = 0.7586

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