4. Suppose that a finite class contains 50% freshmen, 15% sophomores, 10% juniors, and the rest seniors. Suppose that 20% freshmen, 30% sophomores, 50% juniors, and 70% of seniors pass the class. Draw a tree diagram to represent this scenario: (a) Given that the student is a sophomore, what is the probability that she fails the class? (b) What is the probability that a randomly selected student passes the class? (c) What is the probability that a randomly selected student is a senior that passes the class?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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4. Suppose that a finite class contains 50% freshmen, 15% sophomores, 10% juniors, and the rest seniors.
Suppose that 20% freshmen, 30% sophomores, 50% juniors, and 70% of seniors pass the class. Draw a tree
diagram to represent this scenario:
(a) Given that the student is a sophomore, what is the probability that she fails the class?
(b) What is the probability that a randomly selected student passes the class?
(c) What is the probability that a randomly selected student is a senior that passes the class?
Transcribed Image Text:4. Suppose that a finite class contains 50% freshmen, 15% sophomores, 10% juniors, and the rest seniors. Suppose that 20% freshmen, 30% sophomores, 50% juniors, and 70% of seniors pass the class. Draw a tree diagram to represent this scenario: (a) Given that the student is a sophomore, what is the probability that she fails the class? (b) What is the probability that a randomly selected student passes the class? (c) What is the probability that a randomly selected student is a senior that passes the class?
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