An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.4, 0.4, and 0.2, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.5 and 0.5. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B) 4 (b) P(FIB) 5 (c) 2 (d) 5 P(BF) P(F) (e) Does P(BF) = P(B) - P(F)? Yes O No (f) Are B and F independent events? Yes O No
An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.4, 0.4, and 0.2, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.5 and 0.5. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B) 4 (b) P(FIB) 5 (c) 2 (d) 5 P(BF) P(F) (e) Does P(BF) = P(B) - P(F)? Yes O No (f) Are B and F independent events? Yes O No
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Can you explain the steps of e and f please
Transcribed Image Text:An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.4, 0.4, and 0.2, respectively. The outcomes of the second trial are E and
F, with probabilities of occurring equal to 0.5 and 0.5. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.
(a) P(B)
4
(b)
.5
(c)
2
(d)
.5
P(F | B)
P(Bn F)
P(F)
(e) Does P(Bn F) = P(B) P(F)?
O Yes
O No
(f) Are B and F independent events?
O Yes
O No
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