Suppose that a finite class contains 50% freshmen, 20% sophomores, 10% juniors, and the rest seniors. Suppose that 30% freshmen, 20% sophomores, 60% juniors, and 70% 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 50% freshmen, 20% sophomores, 10% juniors, and the rest seniors. Suppose that 30% freshmen, 20% sophomores, 60% juniors, and 70% 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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Step 1
Let F denote Freshmen, S denotes Sophomores, J denotes juniors and R denotes the Seniors. P denotes pass and denotes Fail.
Given:
1. Given that the student is a sophomore, the probability that she fails is obtained as below:
Thus, given that the student is a sophomore, the probability that she fails is 0.8.
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