question archive Fragnance Soaps Pvt Ltd is a leading soap manufacturing company in India

Fragnance Soaps Pvt Ltd is a leading soap manufacturing company in India

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Fragnance Soaps Pvt Ltd is a leading soap manufacturing company in India. "Active" is a well known brand of the company. Company conducted a survey to find out preference for this brand. The marketing research responses are as shown in the following table:

 

Prefer

Ahmedabad

Gwalior

Raipur

Lucknow

Yes

55

40

80

75

No

40

30

20

90

No Opinion

5

10

20

35

 

 

If a customer is selected at random, what is the probability?

(a) That he or she prefers active?

(b) The consumer prefers Active and is from Ahmadabad?

(c) The consumer prefers Active given he is from Lucknow?

(d) That he is from Raipur and has no opinion?

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Answer:

(a) 0.5

(b) 0.11

(c) 0.375

(d) 0.04

(a) From the contingency table this probability can be directly read off as 0.5

(b) from the table we get this probability as 0.11

(c) P(Active given Lucknow) = ?0.15/0.4?? = 0.375

(d) from the table we get this probability as 0.04

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