Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 46  49 of 205
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Question number: 46
» 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: 47
» 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: 48
» 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 

Question number: 49
» Probability » Probability Distributions » Rectangular
Question
An ndimensional rectangular box with sides is to be constructed. The volume is . The edgelength of an ncube with the same volume as the random box is . Let be i. i. d. uniform random variables over the interval Which of the following statements is/are correct regarding this?
Statements:
1) Expected edge length captures the idea of the volume of the box.
2) Expected edge length does not captures the idea of the volume of the box.
3)
Choices
Choice (4)  Response  

a.  1 and 3 

b.  3 

c.  2 and 3 

d.  Question does not provide sufficient data or is vague 
