ACET (Actuarial Common Entrance Test) Statistics: Questions 64  69 of 81
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Question number: 64
» Continuous Random Variables » Definitions
Question
A variable that can assume any value between two given points is called 
Choices
Choice (4)  Response  

a.  Discrete random variable  
b.  Continuous random variable  
c.  Irregular random variable  
d.  Uncertain random variable 
Question number: 65
Question
If 10 % of pens manufactured by a company are defective. The probability that a box containing 12 pens contains exactly 2 defective pens is given by
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 66
» Continuous Random Variables » Standard Deviation
Question
The arithmetic means of X and Y are 20 and 120 respectively. There standard deviations are 5 and 25 respectively. The correlation coefficient between them is 0.8. Find the regression equation of Y on X.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 67
» Probabilities » Independence of Events
Question
Two dice are thrown and the sums of the numbers on the faces up is noted. The probability that this sum being 11 is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 
Question number: 68
Question
In how many different ways can the letters of the word ‘DETAIL’ be arranged such that the vowels must occupy only the odd positions?
Choices
Choice (4)  Response  

a.  36  
b.  100  
c.  64  
d.  90 
Question number: 69
Question
The mean of first prime numbers is
Choices
Choice (4)  Response  

a.  5.6  
b.  3  
c.  3.6  
d.  7 