ProbabilityProbability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 22  25 of 109
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 469 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
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 
