QUESTION 2 A researcher conduct a study on the relation of the highest academic qualification with the household income classification (B40, M40, T20) of 300 households which were randomly selected. Diploma Bachelor Master's Total Degree Degree 540 25 20 10 55 M40 35 60 57 152 T20 15 35 43 93 Total 75 115 110 300 If one household is randomly selected, answer the following questions: i. Draw a tree diagram to represent the table above. ii. What is the probability of selecting a household with the highest academic qualication is diploma AND a B40 income classification? iii. What is the probability of selecting a household with the highest academic qualification is bachelor degree OR a M40 income classification? iv. What is the probability of selecting a household with the highest academic qualication is master's degree AND a T20 income classification? v. What is the probability of selecting a household with the highest academic qualification is diploma if we only select from a group of T20 income classification? vi. Can we conclude that the household income classification is dependent with the highest academic qualification? Justify your answer. QUESTION 1/80 ASSIGNMENT QUESTION A researcher has conducted a study on the importance of introducing science and environmental education to early childhood. The following table represents the responses of 48 randomly selected respondents in this survey. very important important fairly important very important fairly important important important slightly important not important fairly important important very important fairly important fairly important important very important very important important important very important important slightly important fairly important fairly important fairly important slightly important not important very important important important important very important important slightly important fairly important fairly important fairly important slightly important not important very important important important important slightly important not important fairly important important very important a) Construct a frequency table to represent the data above. b) Calculate the relative frequency for each type of response. c) Develop a bar chart for the distribution. d) Based on your bar chart in c), describe the distribution of this survey. e) This study use the 5-point Likert Scale as below: not important slightly important fairly important important very important 1 2 3 4 5 Calculate the following: iv. vi. mean mode median variance standard deviation Pearson's coefficient of skewness