3.5.12 Suppose there are two urns. Urn I contains 100 chips: 30 are labelled 1, 40 are labelled 2, and 30 are labelled 3. Urn 2 contains 100 chips: 20 are labelled 1, 50 are labelled 2, and 30 are labelled 3. A coin is tossed and if a head is observed, then a chip is randomly drawn from urn 1, otherwise a chip is randomly drawn from urn 2. The value Y on the chip is recorded. If an occurrence of a head on the coin is denoted by X = 1, a tail by X = 0, and X ∼ Bernoulli(3/4), then determine E(X | Y), E(Y | X), E(Y), and E(X)

Use C++ for this program

   Define a Line Class.
   Constraint: Line must be in First Quadrant
               for X-Y Coordinate System.

   Create the following methods:
   1) Parameterized Constructor
   2) Horizontal Line Constructor
   3) Vertical Line Constructor
   4) Default Constructor  
   5) Compute Length of Line.

    TEST CASES: Find Length of Line

    (a) Point 1: (5,6) Point 2: (15,6)
  
    (b) Point 1: (7,8) Point 2: (7,20)

    (c) Point 1: (9,10) Point 2: (19,20)

    (d) Default Line of 10 units at (0,0).

A quick question, would this be put in a header file and called into a source file?

South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. The following data show quarterly sales revenues (in $’000s) for the past 5 years.

Question 4

Now make adjustments for trend and seasonality.

1. Quantify the trend in the time series. What does the trend equation tell you?
2. Quantify the seasonality in the time series by calculating seasonality indexes. What do these indexes tell you?
3. Using the trend and the seasonality information from (a) and (b) make forecasts from Q1 Year 1 through Q4 Year 5.
4. Calculate the Mean Absolute Percent Error for this set of forecasts.
5. Plot the forecasts from (c) on the graph in Question 1. Your graph should now have the original data and 3 sets of forecasts plotted on it. Label the different plots appropriately.

Question 5

Using the method in Question 4, calculate forecasts for each of the 4 quarters of Year 6. These forecasts should be adjusted for both trend and seasonality.

Briefly write 4-5 short sentences on each of the 6 topics below. Explain its relevance to that of a financial manager.

1) Financial Statement Analysis

2) Working Capital Management

3) Time Value of Money

4) Risk and Return Tradeoff

5) Securities Valuation

6) Capital Budgeting

3. Use the Black-Scholes model to find the price for a call option with the following inputs: 1) current stock price is $30, 2) Strike price is 32, 3) Time expiration is 4 months, 4) annualized risk-free rate is 5%, and 5) standard deviation of stock return is 0.25.

1. What is the price of $1,000 face-value 3.5% coupon bond with 4 years to maturity with yield of 4%?

2. What is the yield to maturity on a $5,000-face-value discount bond maturing in one year that sells for $4,800? Think about under what conditions will this bond have a negative yield?

Outline the mechanism of the conversion of α-ketoglutarate to succinyl-CoA catalyzed by α-ketoglutarate dehydrogenase complex.

Put these 5 steps in order:

1. decarboxylation

2. transacylation

3. dihydrolipoyl dehydrogenase activity

4. oxidation of 4-carbon group, reduction of lipoamide disulfide

5. enzymatical FADH2 reoxydation by NAD+

A company has recorded data on a sample of real estate listings from Waltham, MA. The variables are:

PRICE -- List price, thousands of dollars
SQFT -- Square footage
BEDS -- Number of bedrooms
BATHS -- Number of bathrooms
HWY -- A dummy variable (1 = close to highways; 0 = far from highways).

Use Excel's Regression tool to answer the following questions:

Fill in Multiple Blanks. For all numerical answers, show two (2) digits to the right of the decimal point, for example, 1.00, 1.20, 1.22. Apply the appropriate rounding rule if necessary. Hint: You can use the “Format Cell” option in the Regression output so that it shows two digits after the decimal point. Excel will automatically round the values up or down, if necessary.

1. The estimated regression line is (enter the estimated coefficients in the appropriate space):

PRICEhat = Blank 1 + Blank 2 SQFT + Blank 3 BEDS + Blank 4 BATHS + Blank 5 HWY

2. On average, a house with 4 bedrooms will be Blank 6 thousand dollars Blank 7 (cheaper, more expensive) than a house with 2 bedrooms, ceteris paribus.

3. On average, a house located close to highways will be Blank 8 thousand dollars Blank 9 (cheaper, more expensive) than a house located far from highways, ceteris paribus.

4. Predict PRICE for a house with square footage of 1960, 2 bedrooms and 2.5 bathrooms, which is located far from highways. PRICEhat = Blank 10 (in thousands of dollars).

5. At 90% confidence, SQFT Blank 11 (is, is not) significantly related to PRICE.

6. At 90% confidence, BEDS Blank 12 (is, is not) significantly related to PRICE.

7. At 90% confidence, BATHS Blank 13 (is, is not) significantly related to PRICE.

8. At 90% confidence, HWY Blank 14 (is, is not) significantly related to PRICE.

9. True or false? At 90% confidence, a significant relationship exists between PRICE and the set of all the independent variables included in the regression model (SQFT, BEDS, BATHS, and HWY). Blank 15 (true, false).

10. True or false? About 85% of the variability in PRICE is explained by the set of all the independent variables included in the regression model (SQFT, BEDS, BATHS, and HWY), and about 15% of the variability in PRICE is explained by the other factors not included in the regression. Blank 16 (true, false).

discrete probability distributions

There are 37 different processors on the motherboard of a controller. 6 of the processors are faulty. It is known that there are one or more faults on the motherboard. In an attempt to locate the error, 7 random processors are selected for testing.

tasks

a) Determine the expected number of defective processors. Round your answer to 2 decimal places.

b) Determine the variance of the number of defective processors. Round your answer to 4 decimal places.

c) Determine the standard deviation of the number of defective processors. Round your answer to 2 decimal places.

d) What is the probability that there are at least 2 faulty processors? Round your answer to 4 decimal places.

e) What is the probability that there are exactly 1 faulty processors if there are a maximum of 2 faulty processors?  Round your answer to 4 decimal places.