Question 1 At a small, private community college of 150 students, students are enrolled in the Sciences or the Arts. One-third of the students are pursuing the Sciences. Thirty percent of the students in the Sciences are females. Males and Females are evenly represented in the Arts. Use this information to complete the table below: Program Of Study Science Arts Total Gender Male Female Total (a) What is the probability that a randomly selected student is females and enrolled in the Sciences? (b) Given that a randomly selected student is male, what is probability that he is enrolled in the Arts? (c) What is the probability that a randomly selected student is male or enrolled in the Arts? (d) [3 marks] (f) Are the events “student is female” and “students is enrolled in the Sciences” independent? Give reason for your answer.
1) Answer: ---- Date: ----13/10/2018
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