ProbabilityProbability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 103  106 of 109
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Question number: 103
» 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: 104
» 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: 105
» Probability » Probability Distributions » Beta
Question
If has the distribution with degrees of freedom in the numerator and degrees of freedom in the denominator then, will follow ________ distribution.
Choices
Choice (4)  Response  

a. 


b.  with degrees of freedom. 

c. 


d.  Question does not provide sufficient data or is vague 

Question number: 106
» Probability » Probability Distributions » Distributions of Functions of Random Variables
Question
Suppose and are independent exponential random variables with parameter . If . Then the marginal distribution of or will follow ________.
Choices
Choice (4)  Response  

a.  Exponential distribution with parameter 

b.  Poisson distribution with parameter 

c.  Exponential distribution with parameter 

d.  None of the above 
