Answer:
(a) E(X) = 3
(b) Var(X) = 12.1067
Explanation:
(a) E[X]
E[X]T = E[X]T=A + E[X]T=B + E[X]T=C
= (2.6 + 3 + 3.4)/3
= 2.6 (1/3) + 3(1/3) + 3.4(1/3)
= 2.6/3 + 1 + 3.4/3
= 3
(b) Var (X) = E[X²]−(E[X])²
Recall that if Y ∼ Pois(λ), then E[Y 2] = λ+λ2. This implies that
E[X²] = [(2.6 + 2.6²) + (3 + 3²) + (3.4 + 3.4²)]/3
= (9.36 + 12 + 14.96)/3
= 36.32/3
= 12.1067
Var(X) = E[X²]−(E[X])²
= 12 - 3²
= 12.1067 - 9
= 3.1067
Answer:
a. Transaction 1
It is not deductible so the Taxable income is $9,000
Transaction 2
It is deductible, taxable income would be;
= 13,500 * ( 1 - Tax)
= 13,500 * ( 1 - 20%)
= $10,800
b. Transaction 1
It is not deductible so the Taxable income is $9,000
Transaction 2
It is deductible, taxable income would be;
= 13,500 * ( 1 - Tax)
= 13,500 * ( 1 - 40%)
= $8,100
Answer:
Shift outwards.
Explanation:
The production possibilities frontier or curve is the curve that shows various combinations or bundles of goods that an economy produces by using its all resource and if there is any point inside the curve then it will depict the inefficiency or underutilization of resources. Moreover, the PPF curve shifts outwards when there is an improvement in technology, due to which the output has increased. Similarly, the increase in output due to labor productivity will result in the rightward shift in the PPF curve.
Answer:
A). The price of gasoline increased in coastal cities since gasoline was harder to find.
Explanation:
As per the principles of demand and supply, a decrease in supply while demand remains constant will cause the price to increase. In Georgia, the supply of gasoline was interrupted by the storm's effect. There was little gasoline coming in, leading to a shortage. After Electricity went off, gasoline demand must have gone high as people needed fuel for generators.
Gasoline has no close substitutes, especially when used as fuel for cars and generators. A shortage results in the scramble for the little available products. Sellers hike prices to maximize profits, and buyers are willing to pay more to get the scarce gasoline, thereby increasing its prices.
Answer:
"An economic and monetary union involves the free flow of products and factors of production among member-countries and the adoption of a common external trade policy, but it also requires a common currency, harmonization of members tax codes, and a common monetary and fiscal policy."
Explanation:
A monetary and economic union is a common market with a common currency. Monetary unions have not necessarily created a common market; in fact, the only monetary and economic union in the world is the Eurozone of the European Union, made up of members of the Union who have adopted the euro as their state currency. It is considered one of the most advanced stages of economic integration.
