ProbabilityDistribution Functions and Properties (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1  5 of 5
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Question number: 1
» Probability » Distribution Functions and Properties
Question
Let X be a continuous random variable with the following PDF
where, is a positive constant. The value of is?
Choices
Choice (4)  Response  

a.  1 

b. 


c.  2 

d.  All of the above 

Question number: 2
» Probability » Distribution Functions and Properties
Question
Which of the following options could be the example of cumulative distribution function?
Choices
Choice (4)  Response  

a.  A, B and D 

b.  C and D 

c.  A, B and C 

d.  None of the above 

Question number: 3
» Probability » Distribution Functions and Properties
Question
Let be defined as follows:
For to be a cumulative distribution function, given is positive, following statement is correct:
Choices
Choice (4)  Response  

a. 


b. 


c.  None of the above 

d.  All of the above 

Question number: 4
» Probability » Distribution Functions and Properties
Question
Which of the following statement is/are incorrect regarding a cumulative distribution function ?
Choices
Choice (4)  Response  

a.  is continuous from the right. 

b.  have limits from left 

c.  is increasing 

d.  None of the above 

Question number: 5
» Probability » Distribution Functions and Properties
Question
Which of the following is/are not correct regarding cumulative distribution function?
Choices
Choice (4)  Response  

a.  Two random variables cannot have same cumulative distribution function. 

b.  Two different cumulative distribution functions cannot correspond to single random variable. 

c.  Question does not provide sufficient data or is vague 

d.  All of the above 
