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Business Statistics-NMIMS-June-17

Business Statistics-NMIMS-June-17

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Q1. 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)

 

Q2. 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.

 

Q3. The growth in bad-debt expense for Chadha and Chadha Company over the last 20 years is as follows.

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

0.11

0.09

0.08

0.08

0.1

0.11

0.12

0.1

0.07

0.09

2007

2008

2009

2010

2011

2012

2013

2014

2015

2016

0.08

0.05

0.04

0.08

0.5

0.01

0.4

0.03

0.11

0.13

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

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.

 

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