ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 304  307 of 471
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Question number: 304
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
If is the density function for the joint distribution of the continuous random variables and defined over the unit square bounded by the points and then the value of is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 305
» Probability » Probability Distributions » Random Vectors
Question
The joint density function of two continuous random variables and is
What is the value of ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 306
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Consider a random permutation of the elements in the set . We say that s match occurs at position . If denotes the number of matches, then the distribution of converges to ________ as .
Choices
Choice (4)  Response  

a.  Exponential distribution with parameter 1 

b.  Laplace distribution with location parameter 0 and scale parameter 1 

c.  Poisson distribution with parameter 1 

d.  None of the above 

Question number: 307
» Probability » Probability Distributions » Gamma
Question
Which of the following statements is/are correct regarding Gamma distribution with parameters?
Choices
Choice (4)  Response  

a.  If represents identically distributed, independent gamma random variables with parameters and , then if , 

b.  If the gamma density function is reduced to the exponential density function. 

c.  If represents identically distributed, independent gamma random variables with parameters and , then also have a gamma distribution with parameters and . 

d.  All a. , b. and c. are correct 
