Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 166  170 of 205
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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 

Question number: 168
» Probability » Characteristic Function
Question
Let random variables, be independent Poisson random variables. So if then, which of the following is the characteristic function of if ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 169
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let and be independent; each is uniformly distributed on Let , then ________.
Choices
Choice (4)  Response  

a. 


b. 


c.  1 

d. 


Question number: 170
» Probability » Moment and Probability Generating Functions
Question
If and are independent discrete random variables with the nonnegative integers as range, and with distribution function then, what is the distribution of ?
Choices
Choice (4)  Response  

a.  Poission distribution 

b.  Geometric distribution 

c.  Negative binomial distribution 

d.  None of the above 
