Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 129  133 of 205
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Question number: 129
» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square
Question
If in mean, then ________.
Choices
Choice (4)  Response  

a.  almost everywhere 

b.  in distribution. 

c.  in probability. 

d.  Both b. and c. are correct 

Question number: 130
» Probability » Probability Distributions » Beta
Question
Suppose Suppose is a random variable such that the conditional distribution of given is negative binomial with stopping parameter and success parameter . Then conditional distribution given follows ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 131
» 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: 132
» 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: 133
» 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. 

