Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 151  154 of 205
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Question number: 151
» 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: 152
» 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 

Question number: 153
» Probability » Probability Distributions » Lognormal
Question
Suppose that the income of a randomly chosen person in a certain population (in $1000 units) has the lognormal distribution with parameters μ=2 and σ = 1. Find the value of .
Choices
Choice (4)  Response  

a.  12.1825 

b.  6.1255 

c.  8.5063 

d.  All of the above 

Question number: 154
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
Suppose that and are independent continuous random variables with the following density functions:
for and
What is the value of ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

