Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 95  98 of 205
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Question number: 95
» 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: 96
» 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: 97
» 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 

Question number: 98
» Probability » Conditional Probability
Question
Consider the college applicant who has determined that he has 0.80 probability of acceptance and that only 60 % of the accepted students will receive dormitory housing. Of the accepted students who receive dormitory housing, 80 % will have at least one roommate. What is the probability of being accepted and receiving dormitory housing and having no roommates?
Choices
Choice (4)  Response  

a.  0.088 

b.  0.096 

c.  0.085 

d.  0.074 
