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ID
NAME
MARKS
IUBAT–INTERNATIONAL UNIVERSITY OF BUSINESS AGRICULTURE AND TECHNOLOGY Final examination
STA 240
Full marks: 100
Time: 3 hours
1.
Which measure of central tendency is the best? Why?
(3)
2.
Find the mean and mode for the series 1, 2, 3 ……… 700.
(5)
3.
Two dice are rolled; find the probability that the sum is equal to 7.
(10)
4.
Find the two numbers whose AM=10 and GM=8.
(10)
5.
Which measure of dispersion is the best? Why?
(3)
6.
Find the MD and SD of the numbers 1, 2,3,4,5.
(10)
You may use the following formulas n
SD
MD
X
i
X
i 1
n 7.
In what situations, HM and GM are not applicable?
(3)
8.
Find the two numbers whose AM=7 and SD=1.
(10)
9.
Write down the applications of Poisson distribution.
(3)
10.
Explain the concept of systematic sampling with an example.
(3)
11.
f(x)=x5 ; 0<x<1
(10)
a) Find E(X). b) Find V(X). 12.
Why we study coefficient of variation (CV)?
(3)
13.
Write down the properties of Normal distribution.
14.
Let X=fertilizer, Y=production of rice. X: 1 Y: 4
2 5
(3) (10)
3 6
a) Find the correlation coefficient, r. b) Fit a regression line between X and Y. You may use the following formulas
∑
−
= ∑ 15.
−
∑
∑
(∑ )
Let code the following values as
(10)
Dhaka (1), Khulna (2), Chittagong (3), others (4): 124213421312134313432324134231432312324 a) Construct a frequency table for the given data. b) Construct relative frequency column in that table. c) Construct percentage column in that table.
16.
Define the following terms:
(4)
a) Null hypothesis b) Critical region c) Type I error d) Two sided test.
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