ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 236  239 of 471
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Question number: 236
» Probability » Probability Distributions » Exponential
Question
Suppose that the lifetime of a bulb is modeled by an exponential distribution with (unknown) parameter λ. We test 5 bulbs and find they have lifetimes of 2,3, 1,3, and 4 years, respectively. What is the MLE for λ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 237
» Probability » Bayes' Theorem and Applications
Question
Most (70%) of the taxis in Rajkot are green, with the rest (30%) being yellow. In a traffic accident involving a hitandrun taxi, a witness claims the taxi was yellow. Careful testing shows that the witness can successfully identify the color of a taxi only 75 % of the time due to bad eyesight. On the balance of probabilities, should we hold Yellow Taxi Company liable?
Choices
Choice (4)  Response  

a.  Information insufficient. 

b.  Yellow taxi Company should not be held liable. 

c.  Yellow taxi Company should be held liable. 

d.  Can’t make any claim. 

Question number: 238
» Probability » Probability Distributions » Cauchy
Question
If has the standard Cauchy distribution, then will follow________.
Choices
Choice (4)  Response  

a.  A Student t distribution with 2 degree of freedom. 

b.  A Chisquare distribution. 

c.  A Laplace distribution. 

d.  None of the above 

Question number: 239
» Probability » Probability Distributions » Poisson
Question
Which of the following statement is/are false regarding following curve?
Choices
Choice (4)  Response  

a.  D have smallest value of λ. 

b.  All can follow Poisson distribution. 

c.  A have smallest value of λ. 

d.  All of the above 
