ATTEMPT ALL QUESTIONS: 10 MARKS QUESTION ONE a) Distinguish between discrete random variable and continuous random variable b) The following sample data set lists the number of minutes 50 Internet subscribers spent on the Internet during their most recent session. 50,40,41,17,11,7,22,44,28,21,19,23,37,51,54,42, 86, 41,78,56,72,56,17,7,69,30,80,56,29,33,46,31,39, 20, 18,29,34,59,73,77,36,39,30,62,54,67,39,31,53,44 Your Task i. Construct a frequency distribution that has classes (09,10 19,,8089) ii. Approximate median value using ogive curves iii. Compute harmonic and geometric mean QUESTION TWO a) It is expected that 10% of production from a continuous process will be defective. Find the probability and number that in a sample of 20 units chosen at random; i. Exactly 2 will be defective ii. At least 2 will be defective. b) The distribution of scores on a statistics final exam are normally distributed and had a mean of 72 and a standard deviation of 8 . What is the probability that a student selected at random will have a score i. Less than 61 ii. More than 80 iii. Less than 98