ACET (Actuarial Common Entrance Test) Statistics: Questions 157  162 of 201
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Question number: 157
» Discrete Random Variables » Mean, Mode, Median
Question
The probability distribution of a discrete random variable X is given as under:
X  1  2  4  2A  3A  5A 
P (X) 






Calculate the value of A if
Choices
Choice (4)  Response  

a.  5  
b.  4  
c.  2  
d.  3 
Question number: 158
» Probabilities » Conditional Probabilities
Question
In a set of 10 coins, 2 coins are with heads on both the sides. A coin is selected at random from this set and tossed five times. If all the five times, the result was heads, find the probability that the selected coin has heads on both the sides?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  1 
Question number: 159
» Correlation and Regression » Correlation Coefficient
Question
If and , the correlation coefficient between random variables X and Y is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 
Question number: 160
» Continuous Distributions » Continuous Uniform
Question
X is a uniformly distributed random variable that takes values between 0 and 1. The value of will be
Choices
Choice (4)  Response  

a.  0  
b. 
 
c. 
 
d. 

Question number: 161
» Continuous Random Variables » Probabilities
Question
Find b if
Choices
Choice (4)  Response  

a. 
 
b.  6  
c. 
 
d.  2 
Question number: 162
» Probabilities » Independence of Events
Question
Let A and B be two events such that , and , where stands for the complement of the event A. Then, the events A and B are
Choices
Choice (4)  Response  

a.  Independent but not equally likely  
b.  Independent and equally likely  
c.  Mutually exclusive and independent  
d.  Equally likely but not independent 