Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 80  83 of 205
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Question number: 80
» Probability » Probability Distributions » Multinomial
Question
If are counts in cells/boxes 1 up to m, each box have different probability , and the fixed number of balls are . Then what is maximum Likelihood of Multinomial Cell Probabilities?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 81
» Probability » Probability Distributions » Laplace
Question
If is a random sample of size 4 from a standard normal distribution. Then the will follow ________
Choices
Choice (4)  Response  

a.  Laplace distribution. 

b.  Exponential distribution 

c.  Bivariate normal distribution. 

d.  Question does not provide sufficient data or is vague 

Question number: 82
» Probability » Probability Distributions » Uniform
Question
If are i. i. d. uniform on, then if . Then Var is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 83
» 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. 

