6. In high school, the probability of a student being a girl is 0.35. If 50 students are randomly selected, find [10 Marks] a) The probability that more than 27 will be girls b) The probability that more than 20 will not be girls c) The probability that more than 5 but less than 30 students will be girls. 7. Construct 90% confidence intervals to estimate the difference between population means and proportions for the following provided data: [10 Marks] a) b) Sample 1 x = = 65 Sample 2 x2 = = 55 s = 12 n2 = 25 s = 9 n = 19 i) Assume 01 02 ii) Assume = 02 Sample 1 x = n1 = 150 Sample 2 x2 = 100 300 n2 = 400