ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 380  383 of 472
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Question number: 380
» Probability » Moment and Probability Generating Functions
Question
A hen lays eggs, where . Each egg hatches with probability , independently of the other eggs. Find the probability distribution of number of chicks,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 
Question number: 381
» 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: 382
» 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.  0.6915  
b.  0.0095  
c.  0.3085  
d.  0.9905 
Question number: 383
» Probability » Laws of Large Numbers
Question
Suppose we choose at random numbers from the interval with uniform distribution. If describes the th choice and , then which of the following is correct?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
