Semiconductors can become conductive if their temperature is raised sufficiently to populate
the (empty) conduction band from the highest filled levels in the valence band. The ratio of
the populations in the highest level of the conduction band to that of the lowest level in the
conduction band is nconduction/nvalance = gconduction/gvalance e–ΔE/kT where ΔE is the band gap, which is
0.661 eV for Ge and 5.5 eV for diamond. Assume for simplicity that the ratio of the
degeneracies is one and that the semiconductor becomes sufficiently conductive when
nconduction/nvalance = 1.0×10–6. At what temperatures will germanium and diamond become
sufficiently conductive? Given that the most stable form of carbon at normal pressures is
graphite and that graphite sublimates near 3700 K, could you heat diamond enough to make
it conductive and not sublimate it?

If possible, please type up or scan the page.

Suppose a box contains five coins (numbered 1, 2, 3, 4 and 5) but each coin has a different probability of obtaining a head when it is tossed. Let the p_i be given by 0,1/4,1/2,3/4 and 1.0, respectively for the coins, indexed by i=1,…,5.

1. Suppose a coin is randomly chosen from the box (i.e. each coin has the same probability of being chosen) and tossed. It shows a head. What are the posterior probabilities that the coin was number i?

2. If that coin were tossed again what is the probability of obtaining another head.

3. Suppose a tail had been obtained on the first toss, and the coin were tossed again. What is the probability a head would be obtained on the second toss?

A crayon manufacturer is comparing the effects of two kinds of yellow dye on the brittleness of crayons. Dye B is more expensive than dye A, but it is thought that it might produce a stronger crayon. Eight crayons were tested, four with each kind of dye, and the impact strength (in joules) was measured for each. The results are as follow:

Dye A: 1.0 2.0 1.2 3.0

Dye B: 3.0 3.2 2.6 3.4

a. If you wish to detect a true difference in impact strength of 1.4 joules for the two dyes, what would the appropriate sample size be if the mean and standard deviation for dye A is 1.8 and 0.91 respectively, and the mean and standard deviation for dye B is 3.05 and 0.34 respectively? You want the power of the test to be 90% and alpha = 0.05

b. Was this sample large enough?

The Succotash Company is thinking of acquiring another company as a scale-expansion project. The target firm has a market value debt-to-equity ratio of 1.0, an equity beta of 1.50, and EBIT of $39,943,900 per year. Succotash’s capital structure is 70% equity and 30% debt, and if it acquires the target firm, will keep the debt ratio at 30%. The risk free rate is 8%, the market risk premium is 8.5%, the tax rate is 34%. Assume that all debt is risk free and that both firms are non-growth firms. Answer the following 4 questions.

1. What is the value of the target firm’s debt and equity?
2. What is the target firm’s unlevered beta and unlevered cost of equity?
3. What discount rate should Succotash use to calculate the NPV of this Acquisition?
4. What is the most that Succotash should pay for the target firm?

RoofCo reports total book income before taxes of $20 million and a total tax expense of $8 million. FloorCo reports book income before taxes of $30 million and a total tax expense of $12 million. The companies’ breakdown between current and deferred tax expense (benefit) is as follows.

Decision Making Communications

RoofCo FloorCo Current tax expense $10.0 $13.0

     Deferred tax benefit (2.0) (1.0)

    Total tax expense $8.0 $12.0

RoofCo’s deferred tax benefit is from a deferred tax asset created because of differences in book and tax depreciation methods for equipment. FloorCo’s deferred tax benefit is created by the expected future use of an NOL. Compare and contrast these two companies’ effective tax rates. How are they similar? How are they different?

Use a calculator to create a scattergram and give the keystrokes.

Find the correlation coefficient give the formula, using a calculator.

Give the calculator keystrokes used when finding the equation and the correlation
coefficient.

The following is about data on disk drives.

a) Sketch the scattergram.
b) Write down the equation that predicts Price from Capacity.
c) Give the correlation coefficient and state what it represents/means.
d) What is the slope estimate, b1.
e) What does it mean, in this context?
f) What is the intercept, b0.
g) What does it mean, in this context? Is it meaningful?
h) What would you predict for the price of a 20 TB drive?

Product A sells for $24.00 per unit and its variable cost is $20.00 per unit. Product B sells for $30.00 per unit and its variable cost is $22.80 per unit. Both products use the same machines. A total of 204,000 machine hours are available each year. Product A requires 1.0 machine hour (MH) while Product B requires 1.5 MHs. The market demand for Product A is 100,000 units and the market demand for Product B is 70,000 units. The company should manufacture:

a.99,000 units of Product A and 70,000 units of Product B.

b.204,000 units of Product A and 0 units of Product B.

c.100,000 units of Product A and 69,333 units of Product B.

d.39,000 units of Product A and 110,000 units of Product B.

Molarity of NaOH solution: .25 M

1. Trial Titration

Final buret volume (mL): 34.4 mL

Initial Buret Volume (mL): 0mL

Volume of NaOH solution (mL): 34.4 mL

2. Exact titration

Sample no. 1 2 3 4

Final buret volume (mL)36.1, 34.9, 34.2, 46.2

intial buret buret volume (mL) 0, 0, 0, 12

Volume of NaOH solution (mL) 36.1, 34.9, 34.2, 34.2

concentration of HC2H3O2 (M) ________ ________ _________ _________

Mean Concentration (M) ________ ________ _________ _________

Show Calculations:

Questions:

1.The manufacture of the vnegar used in this experiment claims that the vinegar contains 5% acedic acid by weight. use your results and a density of 1.0 g/ml to determin of this claim is true or false

Annie is curious to know whether the following five stocks are appropriately valued in the market. Accordingly, she creates a table (shown below) listing the betas of each stock along with their ex-ante expected return values that have been calculated using a probability distribution. She also lists the current risk-free rate and the expected rate of return on the broad market index. Help her out and state your steps. Stock Expected Return Beta 1 26.00% 1.8 2 16.00% 0.9 3 14.00% 1.2 4 16.15% 1.1 5 20.00% 1.4 Rf 3.50% ---- Rm 15.00% 1.0 b. If Annie wants to form a two-stock portfolio of the most undervalued stocks with a beta of 1.3, how much will she have to weight each of the stocks by?