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A commercial bank is advertising three financial products: (i) one investment fund (FA) targeting industry sector A, and (ii) two investment funds (FB-C, FB-A) targeting
A commercial bank is advertising three financial products: (i) one investment fund (FA) targeting industry sector A, and (ii) two investment funds (FB-C, FB-A) targeting sector B, divided by the risk profile of their intended costumers into two categories: Conservative and Aggressive. It is known that 40% of the bank clients subscribed fund FA, no client subscribed more than one of the FB-x funds, and that the relative weights of the two risk profiles are, respectively, 70% and 30% for the Conservative and Aggressive funds. Furthermore, the percentage of bank clients that subscribed fund FA, according to their subscriptions of the FB-x's funds, is the following: Table 1 Percentages of FA subscriptions according to subscriptions of FB-X FB-x subscriptions None FB-C FB-A FA subscriptions 20% 60% 80% a) Find the percentages of the bank clients that subscribed one of the FB-x funds. b) Find the percentages of FB-C and FB-A subscriptions for the clients that subscribed the FA fund. c) Find the percentages of bank clients that subscribed one of the FB-x funds but not the FA fund
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