Solve the problems of Examples 2.4-1,3 (that is, find the quantities A, a, and ) for the

Solve the problems of Examples 2.4-1,3 (that is, find the quantities A, a, and π) for the case when the remaining lifetime T is exponential with parameter μ (we are using the symbol a for other purposes). For simplicity and to make formulas nicer, suppose, that the premium payment is provided continuously with a rate of π. That is, That is, Y = ∫^T₀ e^−δt dt = 1/δ (1−e^−δT), and a = E{Y} = 1/δ(1−M_T (−δ)).