Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 180  183 of 205
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Question number: 180
» Probability » Tchebycheff's Inequalities
Question
For a random variable with expectation , and standard deviation , which of the following inequality is correct?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 181
» Probability » Laws of Large Numbers
Question
Consider rolls of a die. Let be the outcome of the ^{th} roll. Then, if is the sum of first n rolls, which of the following is correct?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 182
» Probability » Borel 01 Law
Question
Suppose are independent events with where . If then, which of the following is correct?
Choices
Choice (4)  Response  

a.  a. s 

b.  a. s 

c.  does not converge. 

d.  in probability. 

Question number: 183
» Probability » Borel 01 Law
Question
Let be independent and equidistributed. Then which of the following is correct regarding ?
Choices
Choice (4)  Response  

a.  If are infinite then will be larger than infinitely many times with probability 0. 

b.  If are finite then will be larger than infinitely many times with probability 1. 

c.  None of the above 

d.  Question does not provide sufficient data or is vague 
