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).
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 formulas15. 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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