Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 163  167 of 205
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Question number: 163
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let random variables , be independent normal random variables. So if then, which of the following is the characteristic function of if and ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 164
» Probability » Tchebycheff's Inequalities
Question
While tossing 100 coin let count the number of heads. Then what is the bound probability of using Tchebycheff’s Inequality?
Choices
Choice (4)  Response  

a.  0.33 

b.  0.50 

c.  0.67 

d.  0.25 

Question number: 165
» Probability » Borel 01 Law
Question
For each independent sequence of events , we have________
Choices
Choice (4)  Response  

a. 


b. 


c.  Both a. and b. are correct 

d.  None of the above 

Question number: 166
» Probability » Kolmogorov's Inequalities
Question
Which of the following statement is correct?
Choices
Choice (4)  Response  

a.  Chebyshev’s Inequality is an special case of Kroneckers lemma. 

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

c.  Question does not provide sufficient data or is vague 

d.  None of the above 

Question number: 167
» Probability » Laws of Large Numbers
Question
Suppose someone wants to estimate Prime minister’s approval rating by asking persons drawn at random from the voter population. Let
Now if he/she want to be confident that he/she is within of the actual approval rating then from how many (minimum number of) people he should ask?
Choices
Choice (4)  Response  

a.  1000 

b.  10, 000 

c.  25, 000 

d.  50, 000 
