ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 286  289 of 471
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Question number: 286
» Probability » Distribution Functions and Properties
Question
Which of the following is/are not correct regarding cumulative distribution function?
Choices
Choice (4)  Response  

a.  Two random variables cannot have same cumulative distribution function. 

b.  Two different cumulative distribution functions cannot correspond to single random variable. 

c.  Question does not provide sufficient data or is vague 

d.  None of the above 

Question number: 287
» Probability » Bayes' Theorem and Applications
Question
Suppose there is a school with 40 % boys and 60 % girls as its students. The female students wear trousers or skirts in equal numbers; the boys all wear trousers. An observer sees a (random) student from a distance, and what the observer can see is that this student is wearing trousers. What is the probability this student is a girl?
Choices
Choice (4)  Response  

a.  0.552 

b.  0.250 

c.  0.428 

d.  Question does not provide sufficient data or is vague 

Question number: 288
» Probability » Probability Distributions » Negative Binomial
Question
A standard, fair die is thrown until 5 sixes occur. Let denote the number of throws. Then variance of is ________.
Choices
Choice (4)  Response  

a.  900 

b.  150 

c.  250 

d.  All of the above 

Question number: 289
» Probability » Probability Distributions » Hypergeometric
Question
Which of the following statement is correct regarding Hyper geometric distribution?
Choices
Choice (4)  Response  

a.  Each individual of a population can be characterized as a success (S) or failure (F). 

b.  Hypergeometric random variable has larger variance than binomial random variable. 

c.  The population or set to be sampled consists of infinite number of elements. 

d.  Question does not provide sufficient data or is vague 
