ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 251  255 of 471
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Question number: 251
» Probability » Probability Distributions » Negative Binomial
Question
Suppose that and are independent random variables for an experiment, and that Negative Binomial distribution and Negative Binomial distribution . Then
Choices
Choice (4)  Response  

a.  Binomial distribution 

b.  Negative Binomial distribution 

c.  Negative Binomial distribution 

d.  None of the above 

Question number: 252
» Probability » Probability Distributions » Cauchy
Question
Which of the following statement is correct regarding the pdf of standard Cauchy distribution?
Choices
Choice (4)  Response  

a.  It increases and then decreases, with mean . 

b.  It is concave upward, then downward, and then upward again, with inflection points at . 

c.  It is symmetric about its mean. 

d.  None of the above 

Question number: 253
» Probability » Probability Distributions » Normal
Question
If are i. i. d with standard normal distributions, the value of so that the random variable has a tdistribution is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 254
» Probability » Probability Distributions » Laplace
Question
The moment generating function of standard Laplace distribution is ________,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 255
» Probability » Probability Distributions » Binomial
Question
The ratio of boys to girls at birth in Malda is at 1.05: 1. What proportion of Malda families with exactly 4 children will have at least 2 boys? (Ignore the probability of multiple births. )
Choices
Choice (4)  Response  

a.  0.5324 

b.  0.2788 

c.  0.3745 

d.  0.4266 
