BUSINESS STATISTICS

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1. Sixty per cent of students applying for admissions at NGASCE are female. 30applications were received on a particular day. What is the probability thatexactly 15 of the applications will be from females? What is the probabilitythat fewer than 10 of the applications will be from females? Also, calculatethe expected number and variance of the number of applications from females?

2. The following data represent the number of Pen drives sold per day at a localcomputer shop and their daily average sales prices after bargain.

Price of each pen drive                (x)	Units Sold (y)
INR 340	3
360	4
320	6
350	5
300	9
380	2
400	1

Developa least-squares regression line and explain what the slope of the lineindicates. Compute the coefficient of determination and comment on the strengthof relationship between x and y.

3. The growth in bad-debt expense for Chadha and Chadha Company over the last 20years 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 ofthe company.

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