ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 303  307 of 469
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The random number generator in Excel is set to produce numbers at random from 4 to 20 using a rectangular distribution.
Question number: 303 (1 of 2 Based on Passage) Show Passage
» Probability » Probability Distributions » Rectangular
Question
Define event A to be a number is less than 8 and define event B to be a number is in the interval . Then, which of the following relation is correct among A and B?
Choices
Choice (4)  Response  

a.  A and B are independent. 

b.  A and B are mutually exclusive. 

c.  A and B are mutually exhaustive. 

d.  All of the above 

Question number: 304 (2 of 2 Based on Passage) Show Passage
» Probability » Probability Distributions » Rectangular
Question
The probability of getting a value less than 8 is________ and is________.
Choices
Choice (4)  Response  

a.  0.50 and 0.25 

b.  0.25 and 0.50 

c.  0.125 and 0.25 

d.  All of the above 

Question number: 305
» Probability » Probability Distributions » Geometric
Question
Let be a discrete random variable with the geometric distribution with parameter . Then the Probability Generating Function of Geometric Distribution will be ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 306
» Probability » Probability Distributions » Exponential
Question
Suppose that the amount of time one spends in a bank is exponentially distributed mean 10 minutes, . What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes?
Choices
Choice (4)  Response  

a.  0.50 

b. 


c.  0.314 

d.  None of the above 

Question number: 307
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Suppose that has the discrete uniform distribution on for each and let denote the probability density function of Let have the continuous uniform distribution on the interval . Then which of the following is correct option?
Choices
Choice (4)  Response  

a.  for each but 

b.  The distribution of converges to the distribution of as 

c.  as for all 

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