ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 275  277 of 461
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Question number: 275
» Probability » Law of Total Probability
Question
Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer are α and β respectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. What is the probability that A wins if B answers the first question?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 276
» Probability » Bayes' Theorem and Applications
Question
Suppose a certain drug test is 99 % sensitive and 99 % specific, that is, the test will correctly identify a drug user as testing positive 99 % of the time, and will correctly identify a nonuser as testing negative 99 % of the time. Let’s assume a corporation decides to test its employees for drug use, and that only 0.5 % of the employees actually use the drug. The probability that, given a positive drug test, an employee is actually a drug user is conducted using Bayes’ theorem. Can we say Bayes’ theorem gives correct result?
Choices
Choice (4)  Response  

a.  Information insufficient 

b.  Yes always 

c.  Not always 

d.  Can’t make any claim 

Question number: 277
» Probability » Probability Distributions » Negative Binomial
Question
In a sequence of independent Bernoulli trails, if denotes the number of failures before (fixed) success, then the expected value of will be ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 
