Question

Do you agree or disagree with the following statement? Explain your reasoning. "Since the speed of the ball is different at each position, there is no way to define probability density because I can’t calculate the probability at just one point."

Answer 1

Answer:

I disagree with the statement.

Step-by-step explanation:

Speed of the ball is different at each position:

This rhymes with the laws of physics because a ball placed at a certain height or on a certain slope will have a different speed (when thrown or rolled down) from a ball placed at a different height or on a different position on a plane.

There is no way to define probability density because i can't calculate the probability at just one point:

This statement is self-opposing as probability density is meant for times when probability value cannot be calculated or found for every given point! It is meant for continuous variables such as the one you're dealing with here - speed. The way to do this is to derive a probability density value for the variable in question (speed of the ball) for specific position intervals. Hence, divide the positions into intervals e.g.

A - B,   B - C,   C - D and so on.

So, probability density is used when you cannot the probability at just one point.