8. Consider a continuous whole life insurance with a benefit of $1 for an individual age x; given that premiums are paid continuously: (a) find an expression for x. (b) If force of mortality u is constant and force of interest is 8, find P the continuously paid premium (c) Find an expression for the variance of the future loss random variable in terms of 2x, x, x and 8. 8. Consider a continuous whole life insurance with a benefit of $1 for an individual age x; given that premiums are paid continuously: (a) find an expression for x. (b) If force of mortality u is constant and force of interest is 8, find P the continuously paid premium (c) Find an expression for the variance of the future loss random variable in terms of 2x, x, x and 8