Answer:
a) 
And if we solve for
we got:

b) False
The reason is because we don't satisfy the following relationship:

We have that:

c) False
In order to satisfy independence we need to have the following condition:

And for this case we don't satisfy this relation since:

Step-by-step explanation:
For this case we have the following probabilities given:

Part a
We want to calculate the following probability: 
And we can use the total probability rule given by:

And if we solve for
we got:

Part b
False
The reason is because we don't satisfy the following relationship:

We have that:

Part c
False
In order to satisfy independence we need to have the following condition:

And for this case we don't satisfy this relation since:

The answer is a.
Point A and point B
Answer:
40 miles
Step-by-step explanation:
In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.
The path driven forms a right triangle in which AC is the hypotenuse.
We therefore use the<u> Pythagorean Theorem</u> to solve for the AC.
Pythagorean Theorem: 

The straight line distance from the starting point is 40 miles.
To determine the number of subjects that are needed for the experiments, we multiply the number of independent variables with the number of scores. For example, there are n independent variables then, there are approximately,
number of subjects = 20 x n = 20n
Only one time...............