60%) o the students have taken course % ave had The prerequisite or a required c

Question

60%) o the students have taken course % ave had The prerequisite or a required course is that students must have taken either course A or course B By the time hey are un course B, and 11% have done both. a) What percent of the juniors are ineligible for the course? b) What's the probability that a junior who has taken course A has also taken course B? c) Are taking these two courses disjoint events? Explain. d) Are taking these two courses independent events? Explain. rs a) % of juniors are not eligible. b) The probability that a junior who has taken course A has also taken course B is (Round to three decimal places as needed.) c) Are the events disjoint? O A. Yes, because the outcome of one does not influence the probability of the other. B. No, because there are outcomes that are common between them. O C. No, because the outcome of one influences the probability of the other D. Yes, because there are no common outcomes. d) Are the events independent? O A. No, because the outcome of one influences the probability of the other. O C. Yes, because the outcome of one does not influence the probability of the other. B. Yes, because there are no common outcomes. D. No, because there are outcomes that are common between them.

Explanation / Answer

a)% of juniiors not eligible =100-P(AUB)=100-(P(A)+P(B)-P(AnB))=100-(60+21-11)=30

b)

P(B|A)=P(AnB)/P(A)=0.11/0.60=0.183

c)

option B is correct.

d)

optionA is correct

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