ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 308  312 of 472
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Question number: 308
» 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 mode at  
b.  If is increasing with  
c.  If is decreasing with mode at  
d.  All a. , b. and c. are correct 
Question number: 309
» Probability » Probability Distributions » Conditional Distributions
Question
Suppose that the joint density of and is
and zero otherwise. Which of the following is equal to
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 310
» Probability » Probability Distributions » Beta
Question
If is the mode of given , then which of the following relation is correct:
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 311
» Probability » Probability Distributions » Conditional Distributions
Question
A continuous random vector have joint probability distribution function
What is the mean of conditional density of given ?
Choices
Choice (4)  Response  

a.  x  
b. 
 
c. 
 
d.  None of the above 
Question number: 312
» Probability » Probability Distributions » Gamma
Question
Suppose that a bullet is fired at a target at the origin of a plane coordinate system, with units in meters. The bullet lands at where and are independent and each has the normal distribution with mean 0 and variance 100. The bullet will destroy the target if it lands within 20 meters of the target. Find the probability of this event.
Choices
Choice (4)  Response  

a. 
 
b.  0.8647  
c. 
 
d.  None of the above 