Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 67  70 of 205
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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 

Question number: 70
» 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 
