ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 240  242 of 471
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Question number: 240
» 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: 241
» 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 

Question number: 242
» Probability » Classical and Axiomatic Definitions
Question
There are 30 people in a room. What is the probability that any two of them celebrate their birthday on the same day? Assume 365 days in a year.
Choices
Choice (4)  Response  

a.  0.08 

b.  0.5 

c.  More than 0.5 

d.  Less than 0.5 
