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Fifty-two percent of the students at a certain college are
Chapter 3, Problem 20P(choose chapter or problem)
Problem 20P
Fifty-two percent of the students at a certain college are females. Five percent of the students in this college are majoring in computer science. Two percent of the students are women majoring in computer science. If a student is selected at random, find the conditional probability that
(a) the student is female given that the student is majoring in computer science;
(b) this student is majoring in computer science given that the student is female.
Questions & Answers
QUESTION:
Problem 20P
Fifty-two percent of the students at a certain college are females. Five percent of the students in this college are majoring in computer science. Two percent of the students are women majoring in computer science. If a student is selected at random, find the conditional probability that
(a) the student is female given that the student is majoring in computer science;
(b) this student is majoring in computer science given that the student is female.
ANSWER:
Step 1 of 3
It is given that the percentage of female students in a college is 52%.Also, it is given that 5% of the students are computer science major students.
Out of 5% students, 2% students are female computer science major students.
Using this we need to find the required values.