ACET (Actuarial Common Entrance Test) Statistics: Questions 70  75 of 81
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Question number: 70
» Discrete Random Variables » Coefficient of Skewness
Question
For a group of 8 students, the sum of squares of differences in ranks for mathematics and statistics marks was found to be 50. What is the value of rank correlation coefficient?
Choices
Choice (4)  Response  

a.  0.23  
b.  0.92  
c.  0.40  
d.  0.78 
Question number: 71
Question
In a railway yard, goods train arrive at a rate of 30 trains per day. Assume that the interarrival time follows an exponential distribution and the service distribution is also an exponential with an average of 36 minutes. The probability that the size of the queue exceeds 10 is
Choices
Choice (4)  Response  

a.  0.06  
b.  0.750  
c.  0.250  
d.  0.944 
Question number: 72
» Probabilities » Conditional Probabilities
Question
A and B are two events such that . Find
Choices
Choice (4)  Response  

a.  0.65  
b.  0.305  
c.  0.12  
d.  0.695 
Question number: 73
» Continuous Random Variables » Probabilities
Question
If X in a discrete random variate having the following probability distribution:
X  0  1  2  3  4  5  6  7 
 0  K  2K  2K  3K 



Then the value of K is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 74
» Measures of Location » Median
Question
What is the probability that a value chosen from a population be less than its median?
Choices
Choice (4)  Response  

a.  0.50  
b.  0.75  
c.  0.25  
d.  1.0 
Question number: 75
» Measures of Location » Median
Question
From the data set calculate median value.
Choices
Choice (4)  Response  

a.  3  
b.  1  
c.  2  
d.  4 