Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 65  69 of 205
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Question number: 65
» 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: 66
» 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: 67
» Probability » Law of Total Probability
Question
A biased coin (with probability of obtaining a Head equal to p > 0) is tossed repeatedly and independently until the first head is observed. What is the probability that the first head appears at an even numbered toss?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 68
» 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: 69
» 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 
