Part V. 1. Events G and H are defined on the sample space. If P(G) = 0.3, P(H) = 0.2, and P(G ! H) = 0.1 a) Are G and H independent? Explain. __________________________________________________________________________ b) Are G and H mutually exclusive? Explain. ___________________________________________________________________________ 2. The classical probability concept applies only when all possible outcomes are ______________________. 5 3. If A is the event that I win the lottery and B is the event that I go on vacation, then P(B | A) can be described in words as the probability that ______________________________________________________________. 4. A restaurant menu has 8 main courses, 5 appetizers, 6 desserts, and 4 beverages. The number of ways that a patron can select a meal with one appetizer, one main course, one dessert and one beverage is ________________________________________________. 5. The number of 5-player basketball teams that can be formed from a group of 11 players is _______________________________________________. 6. How many ways can letters of PROBABILITY be arranged? _____________________________________________.

The standard cell potential for the nickel–cadmium battery is 1.35 V, and the cell reaction can be written as
2NiO(OH)(s) + 2H2O(l) + Cd(s) ? 2Ni(OH)2(s) + Cd(OH)2(s)

Which one of the following statements do you expect to be true based on the Nernst equation? Note Q =
reaction quotient, and K = equilibrium constant for the cell reaction:

a. As the battery is used, the cell voltage approaches zero because Q approaches K, in value.
b. When the battery no longer works, the cell voltage is zero because Q = K.
c. As the battery is used, the cell voltage does not change because Q equals 1.
d. When the battery is fully charged, Q > K.

11- A standard V belt is used to connect two sheaves with pitch diameters of 8,4 in. and 27.7 in. with a center distance of no more than 60.0 in.

a-Specify an acceptable belt.

b-If the small sheave is rotating at 1160 rpm, compute the linear speed of the belt.

c-Determine the contact angle for each sheave if this is an open belt drive.

d-Find the rated horsepower.

e-What is the actual center distance?

In the court case, Babbitt v. Sweet Home Chapter of Communities For a Better Oregon, Sweet Home Chapter of Communities For a Better Oregon alleged that, Babbitt was unable to develop and log a specific piece of land due to the presence of the northern spotted owls and red-cockaded woodpeckers that inhabited that area. Under what statute would the Sweet Home Chapter of Communities for a Better Oregon use in this case against Babbitt?

V. The element gallium freezes at 29.8 °C, and its molar enthalpy of fusion, DHfus = 5.59 kJ/mol. (a) When molten gallium solidifies at its normal melting point, is DS positive or negative. Briefly explain. (b) Calculate DS when 60.0 g of liquid gallium solidifies at 29.8 °C.

V. Each of the following situations involves possible violations of the AICPA Code of Professional Conduct. For each situation, state what section of the Code is involved. Explain whether the action is a violation of that section, and explain the rationale for the rule. A. Colonial, Inc. has struggled financially and has not been able to pay the audit fee to its auditor, Shively and Starch, CPAs, for the 2018 and 2019 audits. Shively and Starch is currently planning the 2020 audit. B. Margo Rabil is a former partner of Howe and High, CPAs. Recently, she left the firm to become the chief operating officer of Gravy Town, Inc, which is an audit client of Howe and High. In her new role, Rabil has no responsibilities for financial reporting. HJowe and High made significant changes to the audit plan for the upcoming audit. C. Ben Parsley is the partner in charge of the audit of Eastern Gate Bank. Parsley is in the process of purchasing new lakefront property and has obtained mortgage financing from Eastern Gate. D. Ellen Grant is CPA, but not a partner, with three years of professional experience with James and Wallace, CPAs. She owns 25 shares of stock in an audit client of the firm, but she does not take part in the audit of the client, and the amount of stock is not material in relation to her total portfolio. E. Christian and Knight, a regional CPA firm, is performing consulting services to help management of Airtrans Services streamline its production operations. The fee for this engagement is a percentage of the cost savings that results once the new process is implemented. This is the only service that Christian and Knight provide for the client.

V+Consider a closed economy with fixed prices and wages. Suppose the consumption
function is given by
? = 50 + 0.5?
?
where C is consumption and ?
?
is disposable income. The investment function is
given by
? = 30 − 5?
where I is investment and r is the interest rate. The demand for money is given by
?/? = 200 + 2? − ℎ?
where M is the amount of money demanded, P is the price level, and h is a parameter
measuring the sensitivity of money demand to the interest rate. Assume that the
price level is fixed at P = 1.
(a) Assume that h=20. If government spending is G=20, taxes are T=10, and
the money supply is M=300, find the equilibrium levels of output and the
interest rate.

(b) Now assume that government spending decreases to 10. What is the
multiplier? Is the effect of government spending on output increased or
decreased when h is larger? Explain your answer intuitively.

(c) Now suppose taxes decrease to 0. What is the multiplier? Will the
multiplier be different than your answer in part (b)? Explain intuitively.

i am having trouble with b and c. could you do them in detail mainly the multipliers

Dimensional analysis

In deep water, the fact that the propagation velocity v for surface waves has been observed depends on the wavelength λ of the waves and the wave height h. It is also reasonable to believe that also the density ρ of the liquid and the acceleration of gravity g affect. Use dimensional analysis for to produce a possible connection. Note that the dimensional analysis can show that someone parameter actually has no effect. In that case, this must be justified.

A 500 nF capacitor is initially connected to a 100 V DC voltage source. At some long time later, the switch is flipped and the capacitor is now connected to a 120 mH inductor.

a) What is the frequency of oscillation in the circuit after the switch is flipped.

b) After the switch is filpped, what would the peak current value be?

c) What is the maximum possible value for the energy stored in the inductor?

d) The energy in an LC circuit oscillates between the inductor and the capacitor. What is the charge on the capacitor when the energy in the inductor is half of its maximum value?

e) The energy in an LC circuit oscillates between the capacitor and the inductor. If I is initially zero when the switch is flipped (t = 0) how much time has elapsed before the energy in the inductor is half of its maximum.