Help in solving the following questions.

Show, with the aid of an appropriate example, how a small injection of cash into the banking sector can greatly increase the money supply.(i) Explain what is meant by a dependent rate of decrement and by an independent rate of decrement. [2] (ii) A multiple decrement table is subject to 3 modes of decrement: or, B and y . You are given the following extract from the table: Age, X (al)x (ad ) (ad) (ad), 50 5,000 86 52 14 51 4,848 80 56 20 (a) Calculate the probability that a 50-year old leaves the population through decrement y between the ages of 51 and 52. (b) Assuming that each decrement is uniformly distributed between integer ages in the multiple decrement table, calculate the independent probabilities 95, and 1950- [3] [Total 5]