A professor teaches two sections of a course: • 70% of students are in Section 1, and 30% are in Section 2. • In Section 1, 90% of students pass the final exam. • In Section 2, 80% of students pass the final exam. A student is randomly selected. a) Draw a tree diagram to represent this situation. b) What is the probability that the selected student passes the exam? c) Given that a student failed, what is the probability they were from Section 1?

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A professor teaches two sections of a course:
• 70% of students are in Section 1, and 30% are in Section 2.
•
In Section 1, 90% of students pass the final exam.
•
In Section 2, 80% of students pass the final exam.
A student is randomly selected.
a) Draw a tree diagram to represent this situation.
b) What is the probability that the selected student passes the exam?
c) Given that a student failed, what is the probability they were from Section 1?
Transcribed Image Text:A professor teaches two sections of a course: • 70% of students are in Section 1, and 30% are in Section 2. • In Section 1, 90% of students pass the final exam. • In Section 2, 80% of students pass the final exam. A student is randomly selected. a) Draw a tree diagram to represent this situation. b) What is the probability that the selected student passes the exam? c) Given that a student failed, what is the probability they were from Section 1?
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