Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 115  116 of 205
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Question number: 115
» 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.  Poisson distribution with parameter 1 

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

d.  None of the above 

Question number: 116
» 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 represents identically distributed, independent gamma random variables with parameters and , then also have a gamma distribution with parameters and . 

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

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