SEHH1028 Elementary Statistics - 2021/22 Semester Two - Assignment 4 Question 3 20 marks 14 (a) 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) (0.06) (b) In a college, the probability for any student to be ABSENT from the exam is R +5 2. Suppose 5 students are selected 100 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. (6 marks (ii) Suppose Y is the number of students ABSENT from the exam among the 5 selected students. Find th (4 marks standard deviation of Y