ProbabilityTchebycheff's Inequalities (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1  5 of 6
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Question number: 1
» 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: 2
» Probability » Tchebycheff's Inequalities
Question
Let . Using Chebyshev’s inequality, find an upper bound on , where . Evaluate the bound for and .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 3
» Probability » Tchebycheff's Inequalities
Question
If follows an exponential distribution with , then what is the bound of using Tchebycheff’s Inequality?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» 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: 5
» Probability » Tchebycheff's Inequalities
Question
Which of the following are correct examples of applications of Chebyshev’s inequality?
Choices
Choice (4)  Response  

a.  If be a Poisson r. v. with parameter . The probability that deviates from by more than is atmost . 

b.  If be the number of Heads in tosses of fair coin then the probability that deviates from by more than is at most and the probability that it deviates by more than 5 is atmost . 

c.  Both a. and b. are correct 

d.  None of the above 
