ProbabilityProbability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 38  42 of 109
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Question number: 38
» Probability » Probability Distributions » Cauchy
Question
The characteristic function of standard Cauchy distribution is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 39
» Probability » Probability Distributions » Binomial
Question
Which of the following statement is/are correct regarding De Moivre–Laplace theorem?
Choices
Choice (4)  Response  

a.  It is valid for very large values of n. 

b.  It is a special case of the Chebyshev’s inequality. 

c.  It states that the normal distribution may be used as an approximation to the binomial distribution. 

d.  None of the above 

Question number: 40
» Probability » Probability Distributions » Normal
Question
A factory produces chocolates which are where quantity measured in grams. Chocolates which are lighter than 3.5 gram or heavier than 4.4 gram are rejected. Out of a bunch of 100 chocolates how many would be acceptable?
Choices
Choice (4)  Response  

a.  72 

b.  90 

c.  47 

d.  86 

Question number: 41
» Probability » Probability Distributions » Geometric
Question
Geometric distribution satisfy which of the following property/properties?
Choices
Choice (4)  Response  

a.  Markov property & Memoryless property 

b.  Memoryless property 

c.  Markov property 

d.  Question does not provide sufficient data or is vague 

Question number: 42
» Probability » Probability Distributions » Multinomial
Question
Out of 10 persons, what is the probability that 2 are poor, 5 are rich, 2 belongs to upper middle class and 1 belongs to lower middle class family? Assuming classification of individuals are independent event and the probability of being poor, rich, upper middle and lower middle are respectively.
Choices
Choice (4)  Response  

a.  1.54×10^{5 } 

b. 


c. 


d.  All of the above 
