Page 261 - BA2 Integrated Workbook - Student 2017
P. 261

Answers to supplementary objective test questions




               12.3 The expected profit is $21,200

                     Remember the probabilities must sum to 1.0, so the probability of $22,000 must
                     be 60%.


                        Profit ($)    Probability

                         50,000            0.2
                         22,000            0.6

                        (10,000)           0.2
                                           –––
                                           1.0

                                           –––


                     EV = ∑px

                     = (50,000 × 0.2) + (22,000 × 0.6) + (–10,000 × 0.2) = $21,200.


               12.4 The probability that a randomly selected unqualified employee will work in
                     location A or B would be 0.625.

                     It is best to show the detail on a table. Put in what you are given from the
                     question and fill in the blanks.

                                             A               B               C             Total

                     Qualified               26             29              24               79
                     Not qualified           11               9             12               32

                     Total                   37             38              36              111

                     There are 32 unqualified members of staff, 20 if these work in locations A or B,
                     so the probability that a randomly selected unqualified employee will work in
                     location A or B would be 20 out of 32. So the probability is 20/32 = 0.625.






















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