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 'Research Officer - Economics and Statistics ' And exam conducted in the year 2021. And Question paper code was '123/2021'. 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.
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Ina random arrangement of the letter of the word ‘MATHEMATICS’, the probability that all
the vowels come together is :
(A) 4/146 (B) 5/126
(© 6/158 (D) 4/165
Let X and Y be two independent exponential random variables with means 7 and 1
respectively. Then the distribution of min (1, ए) is:
(^) Exponential with mean 7 (B) Exponential with mean 1
(C) Exponential with mean 1/6 (D) None of these
If X is a uniform random variable defined over (0,5), the probability that the roots of the
equation 4a? +4Xa+(X+2)are real is:
(A) 3/5 (B) 1/5
(C) 2/5 (D) None of these
What is the expected number of failures preceding the first success in an infinite series of
independent trials with constant probability p of success in each trial?
(A) ५/० ®) 2/4
(C) 1/2 ൩൬ 1/9
If X and Y are two binomial random variables with parameters (n,p) and (n,s)respectively.
If م
(A) P(X
(0 P(X
Which of the following statement is true for a Poisson random variable X with parameter a?
(A) E(X)=ak(x? +1) 0) a E(X+1)= E(x?)
(© ak(x?)= E(x) (D) None of these
For n> 4 and n > 30, the ¢-distribution is :
(^) Leptokurtic ൯) Mesokurtic
(0 Platykurtic ൯൩) Unimodal
123/2021 6 A