Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 199  201 of 205
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Question number: 199
» Probability » Laws of Large Numbers
Question
Let be a sequence of independent, identically distributed random variables, each having finite mean . Then for any , which of the following option is/are correct according to statement of Weak law of large number?
Choices
Choice (4)  Response  

a. 


b. 


c.  Question does not provide sufficient data or is vague 

d.  All of the above 

Question number: 200
» Probability » Kolmogorov's Inequalities
Question
For an infinite sequence, for every where be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 201
» Probability » Tchebycheff's Inequalities
Question
Suppose that we roll a standard fair die 100 times. Let be the sum of the numbers that appear over the 100 rolls. Find the bound using Chebyshev’s inequality for .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

