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BUSINESS STATISTICS
1. The above chart shows the sales of
toys over a period of one year. Identify the diagrammatic representation used
and derive meaningful conclusions about the sales of toys.
2. The following table shows the
results of a survey conducted across the country, on 200 working professionals.
The professionals were asked to identify the location of their company and the
type of industry of their company. The professionals were allowed only to
select one location and one industry.
Industry
|
Location
|
Total
|
|||
North
|
South
|
East
|
West
|
||
Banking
|
24
|
10
|
8
|
14
|
56
|
Logistics
|
30
|
6
|
22
|
12
|
70
|
Telecom
|
28
|
18
|
12
|
16
|
74
|
Total
|
82
|
34
|
42
|
42
|
200
|
Suppose a professional is selected at
random
a) Calculate the probability that the
professional is from West
b) Calculate the probability that the
professional is from Banking
c) Calculate the probability that the professional
is from Logistics or from North?
d) Calculate the probability that the
professional is from Telecom and South?
3. Titan industries Ltd., India’s
leading watch manufacturer was established in 1984, as a joint venture between
the Tata Group and the Tamil Nadu Industrial Development Corporation. The
company brought about a paradigm shift in the Indian watch market, offering
quartz technology with international styling. Leveraging its understanding of
different segments in the watch market, it launched a second brand, Sonata, as
a value brand to those seeking to buy functionally-styled watches at affordable
prices. The company diversified into jewellery in 1995 under the brand name
Tanishq after taking stock of the huge opportunities and the large size of the
jewellery business in India. Suppose, Titan has launched new jewellery designs
under the Tanishq brand for working Indian women. Past record indicates that
the mean sale of this brand, from various showrooms located across various
towns is Rs. 20 million. If the distribution of the sales is normal with
standard deviation of Rs. 50,000
a) What is the probability of obtaining
sale greater than Rs. 45 million this year?
b) What is the probability of
generating sale between Rs. 17 and Rs. 27 million?
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