Based on the data, which conclusion is NOT valid? Given that a randomly selected student is a male, the probability that the student received a D on the final exam is approximately 5.4%. Given that a randomly selected student received a C on the final exam, the probability that the student is a female is approximately 55.8%. Given that a randomly selected student is a female, the probability that the student received an A on the final exam is approximately 11.5%. Given that a randomly selected student received a B on the final exam, the probability that the student is a male is approximately 51.1%.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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1. The table shows the performance data on a final exam for a random sample of college freshmen.
Based on the data, which conclusion is NOT valid?
O Given that a randomly selected student is a male, the probability that the student received a D on the final exam is approximately 5.4%.
O Given that a randomly selected student received a C on the final exam, the probability that the student is a female is approximately 55.8%.
O Given that a randomly selected student is a female, the probability that the student received an A on the final exam is approximately 11.5%.
Given that a randomly selected student received a B on the final exam, the probability that the student is a male is approximately 51.1%.
Final Exam Sample Results
A B
C
D
19
Male 20 46
Female 23 44
Total 43 90
24
43
5
9
14
F Total
3
93
7
107
10
200
Transcribed Image Text:1. The table shows the performance data on a final exam for a random sample of college freshmen. Based on the data, which conclusion is NOT valid? O Given that a randomly selected student is a male, the probability that the student received a D on the final exam is approximately 5.4%. O Given that a randomly selected student received a C on the final exam, the probability that the student is a female is approximately 55.8%. O Given that a randomly selected student is a female, the probability that the student received an A on the final exam is approximately 11.5%. Given that a randomly selected student received a B on the final exam, the probability that the student is a male is approximately 51.1%. Final Exam Sample Results A B C D 19 Male 20 46 Female 23 44 Total 43 90 24 43 5 9 14 F Total 3 93 7 107 10 200
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