Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 188  191 of 205
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Question number: 188
» 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: 189
» Probability » Tchebycheff's Inequalities
Question
Which of the following are correct examples of applications of Chebyshev’s inequality?
Choices
Choice (4)  Response  

a.  If be a Poisson r. v. with parameter . The probability that deviates from by more than is atmost . 

b.  If be the number of Heads in tosses of fair coin then the probability that deviates from by more than is at most and the probability that it deviates by more than 5 is atmost . 

c.  Both a. and b. are correct 

d.  None of the above 

Question number: 190
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let be random variables, and . Assuming that expectations exist, we have = ________
Choices
Choice (4)  Response  

a. 


b. 


c.  if and are independent. 

d.  All a. , b. and c. are correct 

Question number: 191
» 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 
