1. Calculate general expressions for 7, under de Moivre's law and constant forer, respectively. 2. For de Moivre's law and the constant force model, compute (i) the 2-density; (ii) general expression for E[2], E[2] and (iii) Priz>7), i.e., the probability that the single benefit premium is sufficient to cover the benefit. 3. For de Moivre's law with = 100,605, and z 30, find Tan, T. Variz), and E12) 202, and calculate the probability that the net single premium is adequate to cover the benefit. 4. Calculate a general expression for A, assuming a constant force survival model a(z) = 5. Assume an issue at age 90 and an equivalent basis of i=06 and the tabular survival model below, calculate the APV of $1000 paid on the policy anniversary next following death: 90 92 93 100 28 x l de that b 2=bx+1+1 91 72 33 = 39 39 0 6. Consider a discrete insurance model where the survival model is given in the Problem-5 and i = .06. Assume 10, by 5, and by= 2. Find E[Z] and Var[Z] for the discrete model present value variable B 0