ACET (Actuarial Common Entrance Test) Statistics: Questions 134  138 of 201
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Question number: 134
» Measures of Spread » Skewness
Question
In a distribution, the difference between the third and first quartiles is 4 and their sum is 74. Find the skewness if median is 36.
Choices
Choice (4)  Response  

a. 
 
b.  0.5  
c.  1  
d.  0.25 
Question number: 135
» Probabilities » Bayes Theorem
Question
In an entrance test, there are multiple choice question. There are four possible answers to each question of which one is correct. The probability that a student knows the answer to a question is 90%. If he gets the correct answer to a question, then find the probability that he was guessing.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 136
Question
Following is an incomplete distribution having modal mark as 45
Marks  0  20  20  40  40  60  60  80  80  100 
No. of Students  5  8  ?  12  5 
What would be the mean marks?
Choices
Choice (4)  Response  

a.  52.22  
b.  48  
c.  46.67  
d.  50 
Question number: 137
» Discrete Distributions » Binomial
Question
Suppose you take a multiple choice test with 10 questions and each question has 5 answer choices (a, b, c, d, e). What is the probability that you get exactly 4 questions correct just by guessing?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 138
» Measures of Spread » Variance
Question
Let be the values taken by a variable X and be the values taken by a variable Y such that . Then,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 