Events A and B are mutually exclusive. Events B and C are independent. The proba

Question

Events A and B are mutually exclusive. Events B and C are independent. The probability of A and C occurring simultaneously is .08. The probability of B is .40 and the probability that C occurs is .30. The probability of occurrence A and not occuring C is .12. Calculate: a. P(B?C) b. P(A/C) c. P(A) d. P(C/A) e. P(A?B) f. P(A’?B’?C’)
Events A and B are mutually exclusive. Events B and C are independent. The probability of A and C occurring simultaneously is .08. The probability of B is .40 and the probability that C occurs is .30. The probability of occurrence A and not occuring C is .12. Calculate: a. P(B?C) b. P(A/C) c. P(A) d. P(C/A) e. P(A?B) f. P(A’?B’?C’)
Calculate: a. P(B?C) b. P(A/C) c. P(A) d. P(C/A) e. P(A?B) f. P(A’?B’?C’) a. P(B?C) b. P(A/C) c. P(A) d. P(C/A) e. P(A?B) f. P(A’?B’?C’)

Explanation / Answer

a. P(B/C) = P(B) = 0.40

b) P(A/C) = 0.08/0.30 = 0.267

c) P(A) = 0.12+0.08 = 0.20

d) P(C/A) = 0.08/0.20 = 0.40

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