Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 194  197 of 205
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Question number: 194
» Probability » Laws of Large Numbers
Question
Suppose we choose at random numbers from the interval with uniform distribution. If describes the th choice and , then which of the following is correct?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 195
» Probability » Moment and Probability Generating Functions
Question
Suppose that is a random variable taking values in N. The probability generating function of will satisfy the following properties.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 196
» Probability » Kolmogorov's Inequalities
Question
Which of the following statement is correct?
Choices
Choice (4)  Response  

a.  Kolmogorov’s Inequality is a special case of Martingale Maximal Inequality. 

b.  Kolmogorov’s Inequality is a special case of Chebyshev’s Inequality. 

c.  All of the above 

d.  None of the above 

Question number: 197
» Probability » Uniqueness and Continuity Theorems
Question
Let be random variables on such that,
Then, which of the following is correct?
Choices
Choice (4)  Response  

a.  converges for all . 

b.  does not converges for all . 

c.  is always increasing. 

d.  None of the above 
