Assignment Objective To understand the nature of probability and Statistics, types of data collection, graphical representation of data and the sampling techniques. To compute the correlation and equation of regression line. And to understanding of the basic concepts of probability. Formulate and solve the problems using discrete structures. Assignment Tasks 1) a. Select 40 students randomly from the MEC as data and collect the information according to the given Questionnaire through any online survey tools (for example survey monkey or google forms). Share at the links of questioner and responses at appendix. (10 Marks) b. Fill the collected information from above part (a) in Table 1. (5 Marks) MEC AMO TEM 035 04 Page 1 of 15 Computations c. Based on your collected data, determine the sampling technique, which data collection type is used and what are the strengths and weaknesses of your data collection method? (5 Marks)2) a. List the last three-digit numbers of the student's ID (College ID) from your collected data and construct the grouped frequency table for the last three-digit numbers of the student's ID (College ID) with 10 classes. (12 Marks) b. Also construct the relative frequency and percent relative frequency. (8 Marks] c. Construct cumulative frequency curve (less than) and pie chart by using EXCEL. (10 Marks) 3) a. Find the Correlation coefficient and the equation of regression line between weights and heights for all 40 students from your collected data. (23 Marks) b. Draw the weights and heights scatter diagram of your data and give your interpretation. (5 Marks] 4) If a coin tossed four times, then what is the probability of getting either at least two heads or at most three heads? (10 Marks]5) The following table shows that the number of boys and girls in full time and part time students from your collected data at MEC. Full Time Part Time Boys 540 360 Girls 260 40 A student selected at random. What is the probability that the selected student is from girls given that she is from part time? (12 Marks)