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1 answer:
Answer:
≈ 3.16 units
Step-by-step explanation:
To determine the distance between the two points, we need to use the distance formula. The distance formula states that;
Given coordinates;
- (6, -5)
- (5, -8)
When we substitute the coordinates into the formula, we get;
When we simplify the root, we get;
units ≈ 3.16 units (Using calculator)
Therefore, the distance between the points is about 3.16 units.
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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: