QUESTION 3 The table below shows the size of a firm measured in terms of number of employees and the type of firm are related to. The joint probabilities in the Table 2 were calculated. Table 2 Number of Industry employees Total Construction Manufacturing Retail Under 20 0.099 0.501 0.831 20-99 0.019 b 0.088 0.142 100 or more 0.002 0.015 0.011 Total 0.252 d 0.6 1.0 a C a) What is the value for a, b, c, and d? (4 Marks) b) Find the probability a firm employs fewer than 20 employees? (1 Mark ) c) What probability of the firm in the retail industry or have 100 or more? (2 Marks) d) Find the probability that a firm in the construction industry employs and 20 to 99 workers. (1 Mark) e) Determine P(Construction I Under 20). (2 Marks) [Total: 10 Marks)