Kerala PSC Previous Years Question Paper & Answer

Title : Statistician
Question Code :

Page:15


Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Statistician' And exam conducted in the year 2023. And Question paper code was '021/2023/OL'. Medium of question paper was in Malayalam or English . Booklet Alphacode was ''. 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.

page: 15 out of 22
Excerpt of Question Code: 021/2023/OL

three states 0, 1 and 2 is P

1) Jone the initial distribution is

(01) कः = 012.

The value of P[x3=1,X2.=2,X;=1,X9=0}s
A:-1/3
B:-1/54
C:-1/9
D:-2/3
Correct Answer:- Option-B

Question72:-Suppose a Markov chain {x,} have a state space {1, 2, 3, 4} and

0
transition probability matrix is given by P= |. Which of the following statement

0

= = ஓய.

is/are true ?

(i) Markov chain {x,} is irreducible

(ii) Markov chain {x,} is aperiodic

(iii) Markov chain {x,} does not have a stationary distribution

A:-Only (i)
B:-Only (ii and iii)
C:-All of the above (i, ii and iii)
D:-Only (i and ii)
Correct Answer:- Option-D
Question73:-Let {x, } be a Markov chain having a state space {1, 2, 3, 4} and

transition probability matrix is given by P= fale . ೧೧6 ம்பம்‌
0001
A:-00
B:-1
C:-0
D:-1/2

Correct Answer:- Option-C

Question74:-Let {x,} be a Markov chain having a state space {0, 1, 2} and transition
probability matrix is given by P = 0 . Which of the following states are ergodic ?

A:-{0, 2}
B:-All the states
1

D:-None of the states

Correct Answer:- Option-D

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