Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 171  175 of 205
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Question number: 171
» Probability » Moment and Probability Generating Functions
Question
Let be independent count r. v. s. If the are identically distributed, each with Probability generating function then has Probability generating function________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 172
» 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: 173
» Probability » Central Limit Theorems for Independent Variables
Question
A waitress earns varying tips with a mean of Rs. 10.90 with a standard deviation of Rs. 5.60. Assume on the weekend she gets 60 tips. What is the probability she earns Rs. 750 or more?
Choices
Choice (4)  Response  

a.  0.258 

b.  0.742 

c.  0.866 

d.  0.134 

Question number: 174
» Probability » Uniqueness and Continuity Theorems
Question
If and are two random variables such that . Then which of the following is correct?
Choices
Choice (4)  Response  

a.  and have no relation. 

b.  and have same distribution. 

c.  and are both continuous distributions. 

d.  All of the above 

Question number: 175
» Probability » Inversion
Question
Which of the following statement is/are correct?
Choices
Choice (4)  Response  

a.  Two or more random variables cannot follow same characteristic function. 

b.  The characteristic function of random variable uniquely characterizes its distribution. 

c.  Question does not provide sufficient data or is vague 

d.  All of the above 
