ProbabilityProbability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 76  78 of 109
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 469 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: 76
» Probability » Probability Distributions » Random Vectors
Question
The joint density function of two continuous random variables and is
What is the value of ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 77
» Probability » Probability Distributions » Gamma
Question
Which of the following statements is/are correct regarding Gamma distribution with parameters?
Choices
Choice (4)  Response  

a.  If represents identically distributed, independent gamma random variables with parameters and , then if , 

b.  If represents identically distributed, independent gamma random variables with parameters and , then also have a gamma distribution with parameters and . 

c.  If the gamma density function is reduced to the exponential density function. 

d.  All a. , b. and c. are correct 

Question number: 78
» Probability » Probability Distributions » Beta
Question
For a standard Beta distribution having pdf , with parameter , which of the following statements is/are correct?
Choices
Choice (4)  Response  

a.  If is increasing with 

b.  If is decreasing with mode at 

c.  If is increasing with mode at 

d.  All a. , b. and c. are correct 
