Answer the questions below and explain your answers. Only correct answers please.

Q1.

Assume that a country's production function is Y = AK^0.3 L^0.7. The ratio of capital to output is 3, the growth rate of output is 3 percent, and the depreciation rate is 4 percent. Capital is paid its marginal product.

a.What is the marginal product of capital in this situation?

b.If the economy is in a steady state, what must be the saving rate?

c.What is the marginal product of capital if the economy reaches the Golden Rule level of capital?

d.What must the saving rate be to achieve the Golden Rule level of capital?

Show that cov(X. Y)=A population is subject to a constant force of mortality of 0.015. Calculate: (a) the probability that a life aged 20 exact will die before age 21.25 exact (b) the curtate expectation of a life aged 20 exact. [4]The table below shows the numbers of births during one month at a particular hospital classified according to whether a particular medical characteristic was or wasn't present during childbirth. Determine whether the presence of this characteristic is dependent on the age of the mother. Age of mother