Practice A school wanted to understand if there was an association between grade level and participation in a sport. They surveyed a group that consisted of 9th grade and 12th grade students and found the following results: (a) Find the probability, to the nearest hundredth, that a student picked at random from this survey plays a sport. 9th Grade Sport 34 No Sport 20 12th Grade 30 38 (b) Find the probability, to the nearest hundredth, that a person plays a sport given they are in 9th grade. (c) Is playing a sport independent of the grade a student is in? Explain your yes or no answer. The results of a poll of 200 students are shown in the table below: Preferred Music Style Techno Rap Country Female 54 25 27 Male 36 40 18 For this group of students, do these data suggest that gender and preferred music styles are independent of each other? Justify your answer. Regents Review Questions - Unit 10 Probability and Statistics 35 The guidance department has reported that of the senior class, 2.3% are members of key club, K, 8.6% are enrolled in AP Physics, P, and 1.9% are in both. Determine the probability of P given K, to the nearest tenth of a percent. The principal would like a basic interpretation of these results. Write a statement relating your calculated probabilities to student enrollment in the given situation.