Step-by-step explanation:
Given that,
a)
X ~ Bernoulli  and Y ~ Bernoulli
 and Y ~ Bernoulli 
X + Y = Z
The possible value for Z are Z = 0 when X = 0 and Y = 0 
and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0
If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,
Therefore Z is a Bernoulli random variable
b)
If X and Y can not be both equal to  1
then,
 or
 or 
 and
 and 

c)
If both X = 1 and Y = 1 then Z = 2 
The possible values of the random variable Z are 0, 1 and 2.
since a  Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution
 
        
             
        
        
        
Answer:
Step-by-step explanation:
If (x+8) is a factor of f(x), then for some expression p, we have ...
   f(x) = (x+8)p
Evaluated at x=-8, this gives ...
   f(-8) = (-8+8)p = 0p
   f(-8) = 0 . . . . must be true
_____
Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that <em>must</em> be true is the one shown above.
 
        
                    
             
        
        
        
Answer:
-7 is your answer
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. 
4 + y = -3
Subtract 4 from both sides
4 (-4) + y = -3 (-4)
y = -3 - 4
y = -7
-7, or (D) is your answer
~
 
        
                    
             
        
        
        
The sale price would be 18 dollars. Hope this helps you! 
        
                    
             
        
        
        
To find the graph of f(x) = x^2 - 2x + 3, you can either plug in values into where the x variable stands and solve for their corresponding y-values or you can also use your graphing calculator or even Desmos works!