The median is often a better representative of the central value of a data set when the data set: source is bimodal. has a high
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Answer:
Step-by-step explanation:
So we have the two points (10,-4) and (2,-7).
And we want to find the distance between them using the Distance Formula and the Pythagorean Theorem. Let's do each one individually.
1) Distance Formula.
The distance formula is:
Let's let (10,-4) be (x₁, y₁) and let's let (2,-7) be (x₂, y₂). So:
Simplify:
Subtract:
Square:
Add:
Approximate:
So, the distance between (10,-4) and (2,-7) is approximately 8.54 units.
2) Pythagorean Theorem
Please refer to the graph.
So, we want to find the distance. This will be the length of the red line, or the hypotenuse.
First, let's find the length of the two legs.
The longer leg will be the difference between the two x-coordinates. So, the length of the longer leg is:
Note: It doesn't matter if we do 2-10, which gives -8, since we are going to square anyways. Also, distance is always positive, so 8 would be our answer.
And the shorter leg is the difference between the two y-coordinates. Namely:
So, the shorter leg is 3 units.
So now, we can use the Pythagorean Theorem, which is:
Substitute 8 for a and 3 for b. So:
Square:
Add:
Take the square root:
This is the same as our previous answer, so we can confirm that it's correct.
So, using both the distance formula and the Pythagorean Theorem, the distance between the two points is approximately 8.54.
And we're done!
Let us assume that even F represents fidelity and event S represents selectivity.
We have been given the probabilities:
P(S) = 0.72, P(F) = 0.59 and
We need to find the conditional probability that a system with high fidelity will also have high selectivity. We know the conditional probability formula:
Upon substituting the given values, we get: