Dania University College
Dania University CollegeBBA 2nd Year 1st Semester Mid-1
Exam-2015Business Statistics-II Time-1.25 hours Full Marks- 34
Part-A
Marks(Answer any three questions) 1. (a) A candidate is selected
for interview of management trainee for 3 companies. For the first
company there are 12 candidates, for the second there are 15
candidates and for the third there are 10 candidates. What are the
chances of his getting job at least at one of the company
4 (b) Define Independent Events 2 2.(a) Write down the
characteristics of Poisson Distribution
3 (b) How do you define the size of the sample
3 3. (a) Write down the relationship between Normal, Poisson and
Binomial distribution 4 (b) Define Type I & Type II errors
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4. (a) Ten per cent of machines produced by company A are
defective and five per cent of those produced by company B are
defective. A random sample of 250 machines is taken from company A
and a random sample of 300 machines from company B. What is the
probability that the difference in sample proportion is less than
or equal to 0.02.
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Part-B
Marks(Answer any two questions)5. ( a) On the average one in 400
items is defective, if the items are packed in boxes of 100, what
is the probability that any given box of times will contain (i) no
defective
(ii) less than two defectives
(iii) one or more defectives
(iv) more than three defectives
86. (a) A company is considering two different television
advertisement for promotion of a new product. Management believes
that advertisement A is more effective than advertisement B. Two
test market areas with virtually identical consumer characteristics
are selected: advertisement A is used in one area and advertisement
B in the area. In a random sample of 60 customers who saw
advertisements A, 18 tried the product. In a random sample of 100
customers who saw advertisement B, 22 tried the product. Does this
indicate that advertisement A is more effective than advertisement
B, if a 5% level of significance is used?
87. (a) The income of a group of 10000 persons was found to be
normally distributed with mean Rs 1750 p.m. and standard deviation
Rs 50. Show that of this group 95% had income exceeding Rs 1668 and
only 5% had income exceeding Rs 1832.
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