a) 100-x-1 Given the survival function, S(x +t) == and S =0.05, x > 0. Determine: 100 i) The net single premium for a RM50,000 continuous 10-year deferred whole life insurance on (25) ii) The net single premium for a RM25,000 discrete 20-year term insurance on (40). ii) The variance of the present value random variable of the benefit for RM1 continuous whole life insurance on (25). b) Given that the future lifetime random variable of (x) has a uniform distribution on the interval (0,80 x), and the force of mortality at time t is 0.06. For a RM1,000 continuous whole life insurance on (20), determine the expectation and variance of the present value random variable of benefits. a) 100-x-1 Given the survival function, S(x +t) == and S =0.05, x > 0. Determine: 100 i) The net single premium for a RM50,000 continuous 10-year deferred whole life insurance on (25) ii) The net single premium for a RM25,000 discrete 20-year term insurance on (40). ii) The variance of the present value random variable of the benefit for RM1 continuous whole life insurance on (25). b) Given that the future lifetime random variable of (x) has a uniform distribution on the interval (0,80 x), and the force of mortality at time t is 0.06. For a RM1,000 continuous whole life insurance on (20), determine the expectation and variance of the present value random variable of benefits