Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 147  149 of 205
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Question number: 147
» 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: 148
» 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: 149
» 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 
