Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 41  45 of 205
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Question number: 41
» Probability » Conditional Probability
Question
Your neighbor has 2 children. You learn that he has a son, Rahul. What is the probability that Rahul’s sibling is a brother?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 42
» Probability » Probability Distributions » Poisson
Question
If water supply failures occur according to a Poisson distribution with an average of 5 failures every ten weeks, calculate the probability that there will not be more than one failure during a particular week
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 43
» Probability » Probability Distributions » Uniform
Question
The amount of time, in minutes, that a person must wait for a bus is uniformly distribute between 5 and 20 minutes, inclusive. On the average, how long must person wait?
Choices
Choice (4)  Response  

a.  7.5 minutes 

b.  12.5 minutes 

c.  10 minutes 

d.  None of the above 

Question number: 44
» 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: 45
» 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. 
