Each person in a group of students was identified by year and asked when he or she preferred taking classesin the morning, afternoon, or evening. The results are shown in the fableFind the probability that the student preferred afternoon classes given he or she is a juniorRound to the nearest thousandth Freshman Sophomore Junior Senior Morning192 6 16 Afternoon 17 3 13 15 Evening 8 147 ( 1 point) 0.571 0.464 G 0.342 0.158

Question

Each person in a group of students was identified by year and asked when he or she preferred taking classesin the morning, afternoon, or evening. The results are shown in the fableFind the probability that the student preferred afternoon classes given he or she is a juniorRound to the nearest thousandth Freshman Sophomore Junior Senior Morning192 6 16 Afternoon 17 3 13 15 Evening 8 147 ( 1 point) 0.571 0.464 G 0.342 0.158

Answer 1

To find the probability that a student preferred afternoon classes given they are a junior, we need to look at the column for juniors and calculate the total number of students who preferred afternoon classes.

Total number of juniors = 16 (morning) + 13 (afternoon) + 147 (evening) = 176

Number of juniors who preferred afternoon classes = 13

So, the probability that a student preferred afternoon classes given they are a junior is:

13/176 ≈ 0.073 (rounded to three decimal places)

Therefore, the answer is 0.073.