Kerala PSC Previous Years Question Paper & Answer

Title : Statistician
Question Code :

Page:17


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: 17 out of 22
Excerpt of Question Code: 021/2023/OL

Correct Answer:- Option-B

Question79:-Consider a queuing model M/M/1 with interarrival time A and service
time ‏آ یر‎ Which of the following statements is/are correct ?

(i) Steady state distribution of Queue length exist if A - ப

(ii) Steady state distribution of Queue length exist if A> u

(iii) Steady state distribution is given by Geometric distribution

A:-Only (i and iii)

B:-Only (ii and iii)

C:-Only (i)

D:-Only (iii)

Correct Answer:- Option-A

Question80:-Suppose N(t) is a renewal process generated by exponential random
variables ೫,, ೫, .. ., ೫, शांत parameter A and H(t) is a renewal function. Which of the
following statements is/are true ?
(i) N(t) is a Poisson process
(ii) Renewal function H(t) is sm
(iii) ‏ون‎ =0 if B(x)=00

A:-Only (i)

B:-Only (ii and iii)

C:-Only (ii)

D:-All of the above (i, ii and iii)

Correct Answer:- Option-D

Question81:-Consider the simple linear regression model y = 4 + 4 + « , Which of
the following is a wrong statement ?

A:-Mean of Y is a linear function in X

B:-Variance of Y depends on the value of X

C:-Response variables are uncorrelated

D:-The sum of the residuals in simple linear regression models is always zero
Correct Answer:-Question Cancelled

Question82:-Consider the simple linear regression model y = 6 + 4X + € , Which of
the following estimates are not unbiased ?

A:-Least square estimates of 4, and 6

B:-Maximum likelihood estimates of 4 and 4;

C:-Least square estimates of ०१

D:-Maximum likelihood estimates of 2

Correct Answer:- Option-D
Question83:-Consider the simple linear regression model y = 4, +4; X+ ಆ ೧೮೧೮ « '5
are uncorrelated with mean zero and variance «2, What is the value of ൫൧

‎वि‏ مہو
‎Se where Syy == (X;— X)?‏

‎சிப ‏سرک‎

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