. The data below gives the weight (in kgs) of selected students in a class 52 74 50 60 82 105 53 61 75 83 63 53 102 76 84 51 67 65 78 77 56 95 68 69 94 80 79 79 54 73 59 81 100 66 59 77 Let the weight (in kgs) be represented by a random variable . Assuming that the weight is normally distributed with mean and standard deviation; i. Find the probability that a given person will be between 59kgs and 83kgs? (4 marks) ii. How many kgs should a person weigh to be in the top 73%? (4 marks) iii. Let the above data be sample mean weight data, show the sampling distribution of the sample mean weight