Answer:
The answer is 4.
Step-by-step explanation:
I believe your answer is 25.12
The value of x that will make this equation true is 50.
0.5 times 50=25 -8 = 17
0.2 times 50= 10 +7 = 17
Therefore, your answer is 50.
Answer:

1) 
2) 
We can find the individual probabilities and we got:



And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.



Step-by-step explanation:
For this case we have the following density function:

In order to satisfty that this function is a probability mass function we need to check two conditions:
1) 
2) 
We can find the individual probabilities and we got:



And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.
And if we want to find the following probabilities:



Domain: [2,∞)
Range: [0, ∞)
hope it helps!