ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 200  205 of 404
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Question number: 200
» Probability » Probability Distributions » Poisson
Question
The telegraph function has autocorrelation function of:
Choices
Choice (4)  Response  

a. 
 
b.  1  
c. 
 
d. 

Question number: 201
» Probability » Distribution Functions and Properties
Question
Consider the following Markov chain with state space {a, b, c}:
What is the probability that the chain in state b when it is already in state b.
Choices
Choice (4)  Response  

a.  0.5  
b.  0.0  
c.  0.33  
d.  0.2 
Question number: 202
» Probability » Distribution Functions and Properties
Question
A process is Martingale if and only if:
Choices
Choice (4)  Response  

a.  For all n, E [ X_{n} ] < ∞  
b.  (X_{n}) is adapted to (F_{n}) where F_{n} is a filtration  
c.  For all n, E (X_{n + 1} X_{0}, X_{1}, …, X_{n}) =X_{n}  
d.  All a. , b. and c. are correct 
Question number: 203
» Probability » Distribution Functions and Properties
Question
In a widesense stationary process the mean function is:
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 204
» Probability » Distribution Functions and Properties
Question
In a widesense stationary process the autocorrelation R_{X} (t, s) is a function is:
Choices
Choice (4)  Response  

a. 
 
b.  Autocorrelation does not depend on s or t  
c. 
 
d. 

Question number: 205
» Probability » Distribution Functions and Properties
Question
In an Irreducible Markov chain:
Choices
Choice (4)  Response  

a.  You can move from one state to another only in 1 direction  
b.  You can only move between 1 of two states  
c.  All the states can communicate with each other  
d.  There is at least one state when you can go with 0 probability. 