ACET (Actuarial Common Entrance Test) Statistics: Questions 139  145 of 201
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Question number: 139
» Discrete Distributions » Binomial
Question
In a binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 4 trials?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 140
» Discrete Random Variables » Variance
Question
In a meeting 30 % members don’t favour certain proposal while 70 % do. A member is selected at random. Let X = 0 be if opposed, X = 1 is favour. Find Var (X).
Choices
Choice (4)  Response  

a.  0.49  
b. 
 
c. 
 
d.  0.21 
Question number: 141
» Continuous Random Variables » Probabilities
Question
Let X be a continuous random variable with probability density function (pdf)
Find
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 142
» Continuous Random Variables » Probabilities
Question
X is a random variable with range (0,1) and probability density function (pdf) What is the value of C?
Choices
Choice (4)  Response  

a.  1  
b.  4  
c.  2  
d.  3 
Question number: 143
» Continuous Random Variables » Mean, Mode, Median
Question
The continuous random variable X has a probability density function f (x) given by:
Where k is constant.
Find the mean of X
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 144
Question
If , find n.
Choices
Choice (4)  Response  

a.  3  
b.  4  
c.  7  
d.  6 
Question number: 145
» Discrete Distributions » Binomial
Question
In a series of 3 independent trials, the probability of exactly two successes is 12 times as large as the probability of 3 successes. The probability of a success in each trial is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
