Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 143  146 of 205
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Question number: 143
» Probability » Probability Distributions » Gamma
Question
Suppose that and are independent random variables, and that has the gamma distribution with shape parameter and scale parameter for . Then has the ________distribution with shape parameter________and scale parameter________.
Choices
Choice (4)  Response  

a.  Gamma, 

b.  Normal, 

c.  Gamma, 

d.  None of the above 

Question number: 144
» Probability » Probability Distributions » Conditional Distributions
Question
Suppose that the joint density of and is
Find the conditional density of given .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 145
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
Continuous random variables and have a joint distribution with density function for and . Find
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 146
» Probability » Probability Distributions » Gamma
Question
Three life bulbs has life lengths of and respectively in which all follows an exponential distribution with a mean of 300 hours. Suppose the life length of one bulb is independent of others. Find the probability distribution and expected value for the time until all three bulbs ceases to burn.
Choices
Choice (4)  Response  

a.  1200 hours 

b.  900 hours 

c.  600 hours 

d.  None of the above 
