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Code No: R1922051
II B. Tech II Semester Supplementary Examinations, February - 2022
PROBABILITY AND STATISTICS
(Com to CSE, IT)
Time: 3 hours Max. Marks: 75
Answer any FIVE Questions each Question from each unit
All Questions carry Equal Marks
~~~~~~~~~~~~~~~~~~~~~~~~~
1
a)
Show that sum of deviations about arithmetic mean is zero
[8M]
b) Calculate the mean for the following data
C.I 5-10 10-15 15-20 20-25 25-30 30-35 35-40
freque
ncy
6
8
17
21
15
11
2
[7M]
Or
2 a) Define Karl Pearson’s coefficients γ1 and γ2 and discuss their utility in statistics. [7M]
b) Calculate the Upper and lower quartiles for the following data.
C.I 0-4 4-8 8-12 21-14 14-18 18-22 22-26 26-30
Frequ
ency
10
12
18
7
5
3
4
6
[8M]
3 a) Fit the curve y = ax
b
for the following data
x
1
2
3
4
5
y
4
7
10
15
25
[8M]
b) Calculate the Rank correlation from the following data.
x 3 5 8 4 7 7 10
y 6 4 9 8 1 2 3
[7M]
Or
4 a) Fit the curve y = ax + b for the following data
x 40 50 60 70 80
y 600.5 600.6 600.8 600.9 601
[7M]
b)
Calculate the coefficient of correlation from the following data.
x
15
18
20
24
30
35
40
50
y 85 93 95 105 120 130 150 160
[8M]
5
a)
A fair
coin is tossed until head, or five tails occurs then find (i) the distribution
(ii) mean
[7M]
b)
If 2% bulbs are defective then find (i) P(X≥1) (ii) P( 1 < X< 4) in a sample of 50.
[8M]
Or
6 a) The three machines I ,II , III produces 40% , 30% , 30% of the items in a factory.
The percentage of defective items produced by three machines are 4%, 2% , 3%
respectively . If any item is selected what is the probability of that it is defective.
[8M]
b) Suppose the weight of 800 male students is normally distributed with mean 140
and S.D 10 kgs. Then find the number of students whose weights are (i) between
125 and 150 (ii) more than 145.
[7M]
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R19
SET
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