Need some help Appreciate any help Take a look at the screenshot
2 answers:
Answer:
See below.
Step-by-step explanation:
First, from the graph, we can already pick out two points: (0,2) and (4,0). Note that (0,2) is the y-intercept.
Therefore, we can use slope-intercept form or where m is the slope and b is the y-intercept.
We already know the b, so:
Now, we can plug in the ordered pair (4,0) to help us determine the slope (or you can just use the slope formula for the two ordered pairs):
Thus, the entire equation is:
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Answer:
Step-by-step explanation:
For this case we can use the moment generating function for the normal model given by:
And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:
And we have that the moment generating function can be write like this:
And we can write this as an infinite series like this:
And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:
and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:
And then we have this:
And then we can find the
And we can find the variance like this :
And first we find:
And then the variance is given by:
For this case we have the following system of equations:
We multiply the first equation by -5:
Thus, we have the equivalent system:
We add the equations:
We find the value of the variable "x":
Thus, the solution of the system is:
Answer: