ProbabilityProbability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 33  37 of 109
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Question number: 33
» 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: 34
» 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: 35
» Probability » Probability Distributions » Laplace
Question
The moment generating function of standard Laplace distribution is ________,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 36
» 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 

Question number: 37
» 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.  Question does not provide sufficient data or is vague 
