Course: Business Statistics

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NMIMS Global Access

School for Continuing Education (NGA-SCE)

Course: Business Statistics

Internal Assignment Applicable for June 2017 Examination

Assignment Marks: 30

Instructions:

·       All Questions carry equal marks.

·       All Questions are compulsory

·       All answers to be explained in not more than 1000 words for question 1 and 2 and for question 3 in not more than 500 words for each subsection. Use relevant examples, illustrations as far as possible.

·       All answers to be written individually. Discussion and group work is not advisable.

·       Students are free to refer to any books/reference material/website/internet for attempting their assignments, but are not allowed to copy the matter as it is from the source of reference.

·       Students should write the assignment in their own words. Copying of assignments from other students is not allowed.

QUESTION1. Sixty per cent of students applying for admissions at NGASCE are female. 30 applications were received on a particular day. What is the probability that exactly 15 of the applications will be from females? What is the probability that fewer than 10 of the applications will be from females? Also, calculate the expected number and variance of the number of applications from females?    (10 marks)

Answer1.

nCr(30,15)*0.6^15*0.4^15 = 0.078312209686080141065170452

What is the probability that fewer than 10 of the applications will be from females?

nCr(30,0)*0.6^0*0.4^30+nCr(30,1)*0.6^1*0.4^29+nCr(30,2)*0.6^2*0.4^28+nCr(30,3)*0.6^3*0.4^27+nCr(30,4)*0.6^4*0.4^26+nCr(30,5)*0.6^5*0.4^

QUESTION2. The following data represent the number of Pen drives sold per day at a local computer shop and their daily average sales prices after bargain.         (10 marks)

Price of each Pen Drive (x)	Units sold (y)
INR 340	3
360	4
320	6
350	5
300	9
380	2
400	1

Develop a least-squares regression line and explain what the slope of the line indicates. Compute the coefficient of determination and comment on the strength of relationship between x and y.

Answer2.

Regression Analysis
	r²		0.8556		n		7
	r		-0.925		k		1
	Std. Error		1.120		Dep. Var.		Units sold (y)
(

QUESTION3. The growth in bad-debt expense for Chadha and Chadha Company over the last 20 years is as follows. 

a) With the help of different statistical tools discuss the financial health of the company.                                                                                                  (5 Marks)

Answer3a.

Different statistical tools

1. Mean: This is also commonly known as simply the mean. It is a measure that can be easily calculated. It includes all values of the data set in its calculation and its value varies very little from sample to sample taken from the same population.

·      Arithmetic mean he arithmetic mean, also called the average or average value, is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables. The

·       

b) Assume that you are a branch manager with a leading bank and if the Chadha and Chadha Company’s Managing Director approaches you with a funding request for its expansion plan, what will be your decision? Justify your decision based on your statistical analysis.                                (5 Marks)                                                                                                                      

Answer3b.

b) Bank Managers needs to check various factors before granting loan to an entity and some of them are mentioned below:

1.      Documentation: Proper documentation in a loan account is very essential from the banker's point of view. The prime consideration kept in mind by the banks while executing the documents is that these are enforceable in a court of law in case the bank decides to initiate legal action to recover its dues. A bank

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