Suppose that a finite class contains 40% freshmen, 10% sophomores, 10% juniors, and the rest seniors. Suppose that 20% freshmen, 20% sophomores, 50% juniors, and 80% of seniors pass the class. Answer the following questions: 1. Given that the student is a sophomore, what is the probability that she fails the class? 2. What is the probability that a randomly selected student passes the class? 3. What is the probability that a randomly selected student is a senior that passes the class?
Suppose that a finite class contains 40% freshmen, 10% sophomores, 10% juniors, and the rest seniors. Suppose that 20% freshmen, 20% sophomores, 50% juniors, and 80% of seniors pass the class. Answer the following questions: 1. Given that the student is a sophomore, what is the probability that she fails the class? 2. What is the probability that a randomly selected student passes the class? 3. 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
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
Suppose that a finite class contains 40% freshmen, 10% sophomores, 10% juniors, and the rest seniors. Suppose that 20% freshmen, 20% sophomores, 50% juniors, and 80% of seniors pass the class. Answer the following questions:
1. Given that the student is a sophomore, what is the probability that she fails the class?
2. What is the probability that a randomly selected student passes the class?
3. What is the probability that a randomly selected student is a senior that passes the class?
Expert Solution
Step 1
From the given information,
The total number of students = 400
Total number of Freshmen = 160
Total number of Sophomores = 80
Total number of Junior = 40
Total number of Senior = 120
Total number of pass class in Freshmen = 16
Total number of pass class in Sophomores = 32
Total number of pass class in Junior = 24
Total number of pass class in Senior = 84
Total number of fail class in Freshmen = 144
Total number of fail class in Sophomores = 48
Total number of fail class in Junior = 16
Total number of fail class in Senior = 36
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