Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred afternoon classes given he or she is a senior. Round to the nearest thousandth. (1 point) Responses 0.395 0.395 0.116 0.116 0.184 0.184 0.464
To find the probability that a student preferred afternoon classes given he or she is a senior, we first need to calculate the total number of seniors and the number of seniors who preferred afternoon classes.
Total number of seniors = 0.184 + 0.464 = 0.648
Number of seniors who preferred afternoon classes = 0.184
So, the probability of a student preferring afternoon classes given he or she is a senior is:
P(afternoon | senior) = (Number of seniors who preferred afternoon classes) / (Total number of seniors)
P(afternoon | senior) = 0.184 / 0.648
P(afternoon | senior) = 0.284
Therefore, the probability that the student preferred afternoon classes given he or she is a senior is 0.284 (rounded to the nearest thousandth).