ACET (Actuarial Common Entrance Test) Statistics: Questions 176  181 of 201
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Question number: 176
» Continuous Random Variables » Mean, Mode, Median
Question
If probability density function (pdf) of a random variable X is given by 0 2. Find mean.
Choices
Choice (4)  Response  

a.  1  
b. 
 
c. 
 
d. 

Question number: 177
» Discrete Random Variables » Standard Deviation
Question
The number of claims X on a health insurance policy is a random variable with and Calculate the standard deviation of the number of claims.
Choices
Choice (4)  Response  

a.  7.50  
b.  2.18  
c.  2.40  
d.  7.31 
Question number: 178
» Probabilities » Basic Rules of Probabilities
Question
Satyam will miss an important TV program while taking his statistics exam so he sets both his VCRs to record it. The first one records 70 % of the time and the second one records 60 % of the time. What is the probability that he gets home after the exam and finds one copy of his program?
Choices
Choice (4)  Response  

a.  0.88  
b.  0.12  
c.  0.42  
d.  0.46 
Question number: 179
» Measures of Spread » Variance
Question
Find the variance of the series 1,5, 6
Choices
Choice (4)  Response  

a.  2.33  
b.  4  
c.  3  
d.  4.67 
Question number: 180
» Continuous Random Variables » Definitions
Question
Find the value of k for which the function
Is continuous at x = 2
Choices
Choice (4)  Response  

a.  2  
b.  1  
c. 
 
d. 

Question number: 181
» Correlation and Regression » Correlation Coefficient
Question
In a partially destroyed record, the following data are available
Variance of X = 25
Regression Equation of X on Y:
Regression Equation of Y on X:
Find the correlation coefficient between X and Y
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
