1. RETURN THE QUESTION PAPER ALONG WITH THE ANSWER SCRIPT AFTER THE
EXAM.
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
Xi X
SD MD 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).
2. 12. Why we study coefficient of variation (CV)? (3)
13. Write down the properties of Normal distribution. (3)
14. Let X=fertilizer, Y=production of rice. (10)
X: 1 2 3
Y: 4 5 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.
