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Business Quantitative Analysis Question Paper
Business Quantitative Analysis
Course:Masters In Business Administration
Institution: University Of Nairobi question papers
Exam Year:2012
UNIVERSITY OF NAIROBI
SCHOOL OF BUSINESS
MASTERS IN BUSINESS ADMINISTRATION
DMS 501: BUSINESS QUANTITATIVE ANALYSIS
Instructions
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QUESTION ONE
a)DIFFERENTIATION QUESTION
Differentiate the function possessing the integral sign given below.
If
1b) Differentiate the function below under the integral with respect to
for
1c) In the derivation of normal equations for the model Y=b0+b1X1+b2X2, the most essential steps involved are six. These six steps will usually accord three simultaneous equations that will (if solved) give values for b0, b1, b3. Clearly outline these steps in the derivation spoken of above.
1d) One of the statistical properties of least squares method combines two of the most crucial. Which is these and how does it combine the properties. Use equations where necessary.
QUESTION 2
a) How many different permutations can be made of the letters of the word "dependent"?
b) How many rectangles are formed when 8 vertical lines are intersected by 5 horizontal lines?
c) The Rich Biz International Company claims that their tyres last 5 years, with a standard deviation of 1 year. Assume that their claims are true. If you test a random sample of 9 Richbiz tyres, what is the probability that the standard deviation in your sample will be less than 0.95 years?
2d) At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. Find the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light.
QUESTION 3
The growth of the dairy industry is affected by both government incentives and the capital capabilities of the persons in Pakistan. The table below gives a relationship that is presently in existence.
Capital capability (in 00’s dollars) 10 10 8 18 20 6 14 4 25 18
Gov’t incentives (In 000’ dollars) 65 80 72 60 75 85 90 62 90 80
Dairy output (Thousands of Kg) 28.6 35.2 30 40.5 47.4 32 38 22.4 50 42.8
a)Determine the equation that gives the relationship between the dairy output and the government incentives and capital capability.
b)What is the anticipated output level when capital capability is at 23 and the government supports upto a level of 95.
c)Compute the coefficient of multiple determination from the data using sum of squares method
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