Answer Happy

Need he answers to part a and b. Please note that both parts a
and b correspond to one single question so please answer the full
question if you attempt it.
(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) Find the expected value of X. (4 marks) R+5 In a college, the probability for any student to be ABSENT from the exam is Suppose 5 students are selected from the college randomly. (b) 100 (1) (ii) 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) Suppose Y is the number of students ABSENT from the exam among the 5 selected students. Find the standard deviation of Y. (4 marks)