Start with
We can factor a 6 from both terms:
We can also factor
Finally, both terms inside the parenthesis contain a factor of
Finally, we can simplify the terms inside the parenthesis:
Consider the trinomial 6x2 + 13x + 6.
2 answers:
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![f_X(x)=\begin{cases}ke^{kx}&\text{for }x\in[0,2]\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=f_X%28x%29%3D%5Cbegin%7Bcases%7Dke%5E%7Bkx%7D%26%5Ctext%7Bfor%20%7Dx%5Cin%5B0%2C2%5D%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
For
to be a valid PDF, the integral over its support must equal 1:
Let
, so that 
and the integral becomes
For
Let
For this problem you are going to need to know the point-slope equation which is:
y-y₁=m(x-x₁)
Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.
It should look like this:
Since all they are asking for is for you to put it into a formula this will be your answer.
y-y₁=m(x-x₁)
Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.
It should look like this:
Since all they are asking for is for you to put it into a formula this will be your answer.