Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 177  179 of 205
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 454 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
Question number: 177
» Probability » Characteristic Function
Question
For any random variable , its characteristic function is uniformly continuous on and satisfies following properties________ always.
Choices
Choice (4)  Response  

a.  , where for a complex number, denote the conjugate. 

b. 


c. 


d.  None of the above 

Question number: 178
» Probability » Laws of Large Numbers
Question
Let be a sequence of independent, identically distributed random variables, each having finite mean . Then, which of the following option is/are correct according to statement of Strong law of large number?
Choices
Choice (4)  Response  

a. 


b. 


c.  None of the above 

d.  All of the above 

Question number: 179
» Probability » Central Limit Theorems for Independent Variables
Question
The amount of regular unleaded gasoline purchased every week at a gas station near Palampur follows the normal distribution with mean gallons and standard deviation gallons. The starting supply of gasoline is gallons, and there is a scheduled weekly delivery of gallons. Find the probability that, after weeks, the supply of gasoline will be below gallons.
Choices
Choice (4)  Response  

a.  0.2643 

b.  0.7357 

c. 


d.  0.1056 
