1. A statistics professor classifies his students according to their grade point average (GPA) and their class rank. GPA is on a 0.0 – 4.0 scale, and class rank is defined as the lower class (year 1 and year 2) and the upper class (year 3 and year 4). One student is selected at random.

a. Given that the student selected is in the upper class (year 3 and 4), what is the probability that her GPA over 3.0?

b. What is the probability that the student is in the upper class (year 3 and 4) or having a GPA over 3.0?

c. Are being in the upper class (year 3 and 4) and having a GPA over 3.0 independent? Prove statistically.

d. Are being in the upper class (year 3 and 4) and having a GPA over 3.0 mutually exclusive? Prove statistically.

A large corporation is interested in predicting a measure of job satisfaction among it employees. They have collected data on 15 employees who each supplied information on job satisfaction, level of responsibility, number of people supervised, rating of working environment and year of service.

Please write out the regression equation of using all predictors and explain the equation.

Which predictor(s) is(are) very important predictor(s) to predict job satisfaction? Why do you select it (them)?

Use the important predictors to form a regression equation and compare this equation with the previous calculated one.

Report all relevant results.

A project manager has compiled a list of major activities that will be required to install a computer information system in her firm. The list includes estimated completion times for activities and precedence relationships.
Use standard deviation table.

  
If the project is finished within 26 weeks of its start, the project manager will receive a bonus of $1,000; and if the project is finished within 27 weeks of its start, the bonus will be $500. Find the probability of each bonus. (Round Mean, Standard Deviation, z-value to 2 decimal places and Probability to 4 decimal places.)

  
Probability ($1,000)   

Probability ($500)            

1. What's the NPV of the following cash flows with a 8% WACC?

2. What's the payback period of the following cash flows with a 8% WACC?

3. What's the discounted payback period of the following cash flows with a 8% WACC?

4. What's the profitability index of the following cash flows with a 8% WACC?

Year 0 = 100,000

Year 1 = 10,000

Year 2 = 50,000

Year 3 = 45,000

Year 4 = 25,000

In reference to the lecture we had about the yield curve, the lecture note and the video posted in the topic 1 folder in the Course materials, discuss:

1. What is inverted yield curve? (2 points)

2. Why is it interpreted as the sign of imminent recession? (4 points)

3. What causes the inverted yield curve? (4 points)

It is absolutely crucial to provide the logical reasoning & the schematic account of the financial market process.

Find the exact value under the given conditions

1) tanx=-7/24, x lies in quadrant 2, cos(y)= 3/4, y lies in quadrant 1
Find: sin(x+y), cos(x+y), tan(x+y)

2) cos(x)=21/29 x in quadrant 4, sin(y)=-5/12, y in quadrant 3
Find: cos(x+y)

Cost: 178,000 Residual: 3,000 #of years: 5

Infinite plane sheets of charge lie in z = 0, z = 2, and z = 4 planes with uniform surface charge densities ps1, ps2, ps3 respectively. Given that the resulting electric field intensities at the points (3, 5, 1), (1, -2, 3), and (3, 4, 5) are 0az, 6az and 4az V/m respectively, find ps1, ps2, ps3 and electric field vector at point (-2,1,-6).

An investigator analyzed the leading digits from 787 checks issued by seven suspect companies. The frequencies were found to be 4​, 11​, 2​, 72​, 371​, 281​, 7​, 16​, and 23​, and those digits correspond to the leading digits of​ 1, 2,​ 3, 4,​ 5, 6,​ 7, 8, and​ 9, respectively. If the observed frequencies are substantially different from the frequencies expected with​ Benford's law shown​ below, the check amounts appear to result from fraud. Use a 0.025 significance level to test for​ goodness-of-fit with​ Benford's law. Does it appear that the checks are the result of​ fraud?

Leading Digit:      1    2    3 4 5 6    7 8 9
Actual Frequency:      4 11    2    72    371 281 7    16    23

Benford's Law:      30.1% 17.6% 12.5%    9.7%    7.9% ​ 6.7%    ​5.8% ​ 5.1%    ​4.6%

Determine the null and alternative hypotheses.

Ho​: (1)_________________    H1​: (2)_________________

Calculate the test​ statistic, χ2.

χ2 = _______________​

(Round to three decimal places as​ needed.)

Calculate the​ P-value.

P-value = _______________​

(Round to four decimal places as​ needed.)

WEEK 4    "Sources of Innovation" please respond to the following:

1. Discuss the two sources of Innovation classified as knowledge push and need pull. Provide an example of each classification and discuss two driving factors that encouraged the development of these innovations.
2. Select a type of innovation, discussed in the text, and present a strong argument why this source of Innovation would be most effective in developing a competitive advantage for a specific company or industry of your choice. Be sure to explain in your response why you selected this innovation

Week 4 Discussion

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"Sources of Innovation" Please respond to the following:

Discuss the two (2) sources of innovation classified as knowledge push and need pull. Provide an example of each classification and discuss two (2) driving factors that encouraged the development of these innovations.

Select a type of innovation, discussed in the text, and present a strong argument why this source of innovation would be most effective in developing a competitive advantage for a specific company or industry of your choice. Be sure to explain in your response why you selected this innovation.