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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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