ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 323  327 of 461
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 461 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
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 . 
