ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 339  342 of 471
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Question number: 339
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
Continuous random variables and have a joint distribution with density function for and . Find
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 340
» Probability » Probability Distributions » Gamma
Question
A chisquare (with degree of freedom) probability density function satisfies which of the following property/properties?
Choices
Choice (4)  Response  

a.  If then is decreasing with 

b.  If , then is concave downward. 

c.  If , is increasing with as . 

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

Question number: 341
» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square
Question
Suppose that is a sequence of independent random variables with , ; , then the following option is correct?
Choices
Choice (4)  Response  

a.  almost everywhere 

b.  as 

c.  in probability 

d.  Question does not provide sufficient data or is vague 

Question number: 342
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Consider the following statements and then choose the option in which the given statements are equivalent.
I)
II)
III) for every
IV) for every
V) for every
Choices
Choice (4)  Response  

a.  II and IV 

b.  I, III, V 

c.  I, V 

d.  Question does not provide sufficient data or is vague 
