Question 3 R: g (a) (b) There are [5 + R) females and (15 R) males in a tutorial group. Suppose two students are selected from the tutorial group one after the other without replacement as the class representatives and X is the number of female students selected. (i) Construct a discrete probability distribution for the random variable X. Correct your probabilities to 4 decimal places. {6 marks) (ii) Find the expected value of X . {4 marks) In a college, the probability for any student to he ABSENT from the exam is %. Suppose 5 students are selected from the college randomly. (i) Find the probability that more than 3 students among the 5 selected students are PRESENT in the exam. Correct your answer to 4 decimal places. {I5 marks) (ii) Suppose Y is the number of students ABSENT from the exam among the 5 selected students. Find the standard deviation of l'. {4 marks)