Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 50  53 of 205
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Question number: 50
» 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 

Question number: 51
» Probability » Bayes' Theorem and Applications
Question
Suppose a man have two bags each containing black and white balls. One bag contains three times as many white balls as blacks. The other bag contains three times as many black balls as white. Suppose he choose one of these bags at random. From that bag he select five balls at random, replacing each ball after it has been selected. He found 4 white balls and one black in the result. What is the probability that he was using the bag with mainly white balls?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 52
» Probability » Distribution Functions and Properties
Question
Which of the following statement is/are incorrect regarding a cumulative distribution function ?
Choices
Choice (4)  Response  

a.  can have only jump discontinuities. 

b.  is continuous from the right. 

c.  have countable number of discontinuities. 

d.  None of the above 

Question number: 53
» Probability » Probability Distributions » Multinomial
Question
If where, then, ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 
