ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 323  327 of 471
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Question number: 323
» Probability » Probability Distributions » Conditional Distributions
Question
Suppose the continuous random variables X and Y have the following joint probability density function: for and . What is the conditional density of given ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 324
» Probability » Probability Distributions » Gamma
Question
If has the gamma distribution with shape parameter then it’s moment generating function is ________ .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 325
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
Continuous random variables and have a joint distribution with density function
in the region bounded by Find the density function for the marginal distribution of for
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 326
» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square
Question
If then in the th mean implies ________.
Choices
Choice (4)  Response  

a.  in th mean. 

b.  in th mean. 

c.  almost everywhere. 

d.  All of the above 

Question number: 327
» Probability » Probability Distributions » Beta
Question
Suppose where . Then which of the following statement is correct?
Choices
Choice (4)  Response  

a.  Then the distribution is a twoparameter exponential family with natural parameters and , and natural statistics and . 

b.  Then the distribution is a twoparameter exponential family with natural parameters and , and natural statistics and . 

c.  Then the distribution is a twoparameter exponential family with natural parameters and , and natural statistics and . 

d.  Then the distribution is a twoparameter exponential family with natural parameters and , and natural statistics and . 
