Discuss the following questions in detail and provide a brief notes about your findings.

4' n: 'f. A and B are Boolean variables.The1s.Ir are either true or false. Consider the following table of joint probabilities. Give your Answer with two digits to the right of the decimal point{E.g., use, not 112 or ozom. What is PIfBiA)? s. A and E are Boolean variables. They are either true or false. Consider the following table of joint probabilities. Give your Answer with two digits to the right of the decimal point{E.g., 0.20, not D2 or {1.2130}. what is Pie'vv)? Question 2: Asymptotic Analysis I [10 marks] For the parts below, let g(n) = > i'n (a) Give a simple function (non-recursive, containing no summations) f(n) such that f(n) E O(g(n)) Hint: You do not need to find an exact closed form for the summation. (b) Prove the asymptotic relationship f(n) E O(g(n)) where f (n) is your answer from part (a). (c) Prove the asymptotic relationship f(n) En(g(n)) where f (n) is your answer from part (a).A- AT Aa x2 A . A Question# 3 (10 marks) Answer the following: a. MPC = .7. What is the government spending multiplier? b. MPC = .85. What is the tax multiplier? c. If the government spending multiplier is 5, what is the tax multiplier? d. If the tax multiplier is -3, what is the government spending multiplier? e. If government purchases and taxes are increased by $150 billion simultaneously, what will the effect be on equilibrium output (income)? English (UK) E Focus9% (10 marks) Answer the following: a. MPC = .?.What is the government spending multiplier? h. MPC = .85.What is the tax multiplier? c. If the government spending multiplier is 5, what is the tax multiplier? d. If the tax multiplier is -3, what is the government spending multiplier? e. If government purchases and taxes are increased by $150 billion simultaneously, what will the effect he on equilibrium output (income)? D Question 44 1 pts According to the Keynesian-cross analysis, when there is a shift upward in the government-purchases schedule by an amount AG and the planned expenditure schedule by an equal amount, then equilibrium income rises by: The change in government spending multiplied by the quantity one plus the marginal propensity to consume. The change in government spending divided by the quantity one minus the marginal propensity to consume. @) The change in government spending. one unit