ProbabilityCentral Limit Theorems for Independent Variables (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 4  6 of 6
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Question number: 4
» Probability » Central Limit Theorems for Independent Variables
Question
Suppose that you have a sample of values from a population with mean and standard deviation . What is the probability that the sample mean will be in the interval ?
Choices
Choice (4)  Response  

a.  0.1056 

b.  0.8944 

c.  0.7888 

d.  0.2112 

Question number: 5
» Probability » Central Limit Theorems for Independent Variables
Question
Let be a ramdom variable and . A sample of size is taken from this population. What is the probability that the sum of these observations is less than ?
Choices
Choice (4)  Response  

a. 


b.  0.0062 

c. 


d. 


Question number: 6
» Probability » Central Limit Theorems for Independent Variables
Question
From past experience, it is known that the number of tickets purchased by a student standing in line at the ticket window for the cricket match of India against Srilanka follows a distribution that has mean and standard deviation . Suppose that few hours before the start of one of these matches there are eager students standing in line to purchase tickets. If only tickets remain, what is the probability that all students will be able to purchase the tickets they desire?
Choices
Choice (4)  Response  

a.  0.9905 

b.  0.3085 

c.  0.6915 

d.  0.0095 
