ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 259  263 of 469
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 469 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
Question number: 259
» 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: 260
» 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: 261
» Probability » Probability Distributions » Laplace
Question
The moment generating function of standard Laplace distribution is ________,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 262
» 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: 263
» 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 
