ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 251  255 of 472
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Question number: 251
» 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: 252
» 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: 253
» Probability » Probability Distributions » Laplace
Question
The moment generating function of standard Laplace distribution is ________,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 254
» 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 exactly 2 boys? (Ignore the probability of multiple births. )
Choices
Choice (4)  Response  

a.  0.5324  
b.  0.4266  
c.  0.2788  
d.  0.3745 
Question number: 255
» Probability » Probability Distributions » Binomial
Question
Hospital records show that of patients suffering from a certain disease, 85 % die of it. What is the probability that of 5 randomly selected patients, 4 will recover?
Choices
Choice (4)  Response  

a.  0.0021  
b.  0.0454  
c.  0.0254  
d.  All of the above 