ProbabilityProbability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 22  25 of 109
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Question number: 22
» Probability » Probability Distributions » Exponential
Question
Suppose that the lifetime of a bulb is modeled by an exponential distribution with (unknown) parameter λ. We test 5 bulbs and find they have lifetimes of 2,3, 1,3, and 4 years, respectively. What is the MLE for λ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 23
» Probability » Probability Distributions » Cauchy
Question
If has the standard Cauchy distribution, then will follow________.
Choices
Choice (4)  Response  

a.  A Student t distribution with 2 degree of freedom. 

b.  A Chisquare distribution. 

c.  A Laplace distribution. 

d.  None of the above 

Question number: 24
» Probability » Probability Distributions » Poisson
Question
Which of the following statement is/are false regarding following curve?
Choices
Choice (4)  Response  

a.  D have smallest value of λ. 

b.  All can follow Poisson distribution. 

c.  A have smallest value of λ. 

d.  All of the above 

Question number: 25
» Probability » Probability Distributions » Normal
Question
A manufacturer does not know the mean and SD of the diameter of a ball bearing he is producing. However, a machine rejects all bearings larger than 2.5 cm and those under 2 cm in diameter. Out of 5000 ball bearings 9 % are rejected as too small and 6.5 % as too big. What is the mean and standard deviation of the ball bearings produced?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 
