What is the solution of
2 answers:
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Answer:
Step-by-step explanation:
Given
Solving (a):
Find k
To solve for k, we use the definition of joint probability function:
Where
Substitute values for the interval of x and y respectively
So, we have:
Isolate k
Integrate y, leave x:
Substitute 0 and x/2 for y
Integrate x
Substitute 0 and 2 for x
Solving (b):
We have:
Where
To find , we use:
So, we have:
Integrate x leave y
Substitute 0 and y/3 for x
Integrate
Substitute 0 and 2 for y