Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes: morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a junior. Round to the nearest thousandth. Survey of Class Times Freshman Sophomore Junior Senior Morning 20 14 16 17 Afternoon 5 10 2 7 Evening 15 15 8 14

Question

Andrew Chung

Mathematics

22 March, 23:35

Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes: morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a junior. Round to the nearest thousandth. Survey of Class Times Freshman Sophomore Junior Senior Morning 20 14 16 17 Afternoon 5 10 2 7 Evening 15 15 8 14

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Lorelei Pruitt · Answer 1

P (student prefers afternoon classes, given he/she is a junior) = # of juniors preferring afternoon classes / total # of juniors = 13 / (12 + 13 + 5) = 13/30, or approximately 0.433.