ProbabilityProbability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 90  93 of 109
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Question number: 90
» 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: 91
» 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: 92
» 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
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Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 93
» 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 . 
