Kerala PSC Previous Years Question Paper & Answer
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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'LECTURER IN STATISTICS KERALA COLLEGIATE EDUCATION' And exam conducted in the year 2014. And Question paper code was '122/2014'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.
9. What type of definiteness does the quadratic form 2د 2y2+ 322 + 2yz — 2xz + 2xy possess ?
(ಹಿ) Positive definite (B) Negative definite
(C) Positive semi - definite (D) Indefinite
10. Identify the incorrect statement of the following :
کت ۸ )1 (ھ) m X n matrix of any rank with كاز g-inverse معط رك AA* A=A
(8) The g - inverse A* exists and rank (A*) 2 rank (A)
(೮) If A*is a g - inverse then A*A or AA* is idempotent
(D) The Moore - Penrose g - inverse is not unique
11. Which of the following doesn’t hold true always ?
@ PN 4)=1- X0 P
(1) 14) ജട (ടത ர)
(८) P(An B~ CQ=PA)PB/APC/A N B)
© PULA) =1- ميات
12. If X >0 as, then which of the following inequalities 15 wrong ?
(ट 2 ا L., -1
(५) ஈடு © |> छत
)©0 ௩௦0௨௬9? (D) E(log(X)) = log(E(X))
13. If X is a uniform [0, 1] random variable, then which of the following is a lower bound for
1 | உவ 1 ?
2 4
(५) 8/9 ൫ 2/3 © 2/9 D) 1/9
14. Choose the correct statement :
Yoy ik ey ميغ
اويا ب لقا مع ಸಚ
وب قدي + لقا درا ابيع ا
ற) டத டங்க டு
15. 1 (>>| be a sequence of random variables with
1 1
By =) =, Xy =) =1~ کس رج
ಬು ಹ್ಞಾ ಜ್ರ (8) 3 => 07 14 جوم
(೮) X, converges to 1in probability (D) None of these
122/2014 4 A
