ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 304  307 of 472
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Question number: 304
» Probability » Probability Distributions » Lognormal
Question
Which of the following properties is/are satisfied by the probability density function of the lognormal distribution with parameters and .
Choices
Choice (4)  Response  

a.  is concave upward then downward then upward again, with inflection points at 

b.  increases and then decreases with mode at 

c.  as and as 

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

Question number: 305
» 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.  None of the above 

Question number: 306
» 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: 307
» 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 
