I.- ....... l -1 nu.- .'a a) State whether the following is a discrete or continuous random variable. i. Number of seeds in a tomato [1] ii. The number of litres ofwater used per household [1] iii. The ages of children in a preschool [l] b) Determine the sampling methods used in each of the scenarios below 1. Select every 9'h candy bar from a production line to check its weight [1] ii. Group t-shirts by colors and select t-shirts at random from within each group in proportion to the number oft-shirts that make up that group. [1] iii. Use random number tables to select 15 students from a class. [1] iv. Select 8 white cars, 5 blue and 3 red cars. [l] v. Name one advantage ofthe sampling method in ii) [1] c) The following stem-and leaf display shows the weight, in kilogram, boxes ofjuice Stem-andLeaf Display N = * Leaf Unit = 0.1 9 0 002334666 20 1 01123356777 (**) 2 86122223346799 *** 3 56778899 12 4 0002344 5 5 66789 i. Determine the values of *. ** and ***. [3] ii. What is the value of the median? [1] iii. Find the modal yield ofthis data set. [1] iv. What is the range of the data set? [1] ECON1005 Introductory Statistics Semester 1' 2022/33 d) The weight of 45 watermelons from a farm is shown below. i. Calculate the mean [2] ii. Calculate the median [3] iii. Calculate the mode [3] iv. Comment on the skewness of this distribution. [2]