Answer:
(a)

(b)


Step-by-step explanation:
Given

Solving (a): The pmf
This means that we list out the probability of each value of x.
To do this, we simply subtract the current probability value from the next.
So, we have:

The calculation is as follows:





The x values are gotten by considering where the equality sign is in each range.
means 
means 
means 
means 
means 
Solving (b):

This is calculated as:

From the given function


So:



This is calculated as:




Answer:
Correlation does not always imply causation. (It's not correct)
Step-by-step explanation:
Correlation tests 2 variables' relationship, but just because they are related does not mean they necessarily cause each other.
g(x) is the inverse of f(x)


Answer:
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