ProbabilityProbability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 106  109 of 109
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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 

Question number: 107
» 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: 108
» 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. 


Question number: 109
» Probability » Probability Distributions » Distributions of Functions of Random Variables
Question
Let be a random variable with support and distribution function
Then the distribution function of is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 
