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Business statistics (4)
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NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for September2016 Examination
Assignment Marks: 30
Instructions:
All Questions carry equal marks.
All Questions are compulsory
All answers to be explained in not more than 1000 words for question 1 and 2 and for
question 3in not more than 500 words for each subsection. Use relevant examples,
illustrations as far aspossible.
All answers to be written individually. Discussion and group work is not advisable.
Students are free to refer to any books/reference material/website/internet for attempting
theirassignments, but are not allowed to copy the matter as it is from the source of
reference.
Students should write the assignment in their own words. Copying of assignments from
otherstudents is not allowed.
2. Question. 1. Explain the calculation and utility of standard
deviation and Bowley’s coefficient ofskewness with one example
for each. (Marks 10)
Answer:The standard deviation is utilized when you would need to quantify the arrangement of
information on the premise of spread of scores. The general method for utilizing it is populace
standard deviation. We get just information from test standard deviation and we can evaluate the
populace withthat.Fundamentally,the sample andpopulation standard deviations are two various
types of standard deviations which are calculated differently.
For instance, if we needto calculate the standard deviation to discover the gold coin sums that the
pirate ship has. The computation would be as per the
Question. 2. The student scores in an examination are 35, 30, 25,
26, 40, 44, 36, 54, 64, 65, 75, 60,70, 85, 90, 92, 46, 52, 63, 52. The
daily pocket money (in Rs.) for the same students(respectively) are
110, 110, 120, 140, 150, 140, 150, 210, 200, 140, 210, 240, 300, 260,
500,270, 310, 550, 450, 500. Find the following:-
(a) Regression of scores on pocket money (4 marks)
(b) Regression of pocket money on scores (4 marks)
(c) Derive Pearson’s Correlation coefficient from the above two regression coefficients (2
marks).
Answer : 2 a)
Scores(x) Pocket Money(y) ∑xy ∑X2
35 110 3850 1225
30 110 3300 900
25 120 3000 625
26 140 3640 676
40 150 6000 1600
3. Question. 3. a)Explain Bayes’ Theorem with an example. What is
the posterior probability in thesame example?
Answer:
– (i) Two cards are drawn at random from standard deck of 52 cards without replacement =
𝐸𝑣𝑒𝑛𝑡
𝑇𝑜𝑡𝑎𝑙
=
𝑾𝒂𝒚 𝒕𝒐 𝒅𝒓𝒂𝒘 𝟐 𝒄𝒂𝒓𝒅 𝒐𝒖𝒕 𝒐𝒇 𝒑𝒐𝒔𝒔𝒊𝒃𝒍𝒆 𝟒 𝑲𝒊𝒏𝒈𝒔
𝑾𝒂𝒚 𝒕𝒐 𝒅𝒓𝒂𝒘 𝟐 𝒄𝒂𝒓𝒅𝒔 𝒇𝒓𝒐𝒎 𝒂 𝒑𝒂𝒄𝒌 𝒐𝒇 𝟓𝟐 𝒄𝒂𝒓𝒅𝒔
b)Two cards were drawn, without replacement, from a pack of 52
cards. What is theprobability that they are both Kings? What is the
probability for the same case if the cardswere drawn with
replacement? (5 marks)
(ii) Two cards are drawn at random from a standard pack of 52 cards with replacement
There are 4 kings in the pack of 52 cards in each of one suit, for drawing king from 52
card would have the probability =
4
52
Since, you replaced the
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