Explain what is meant by an experiment. Give an example. For the example you have chosen, describe (a) a sample point, (b) the sample space, and (c) an event of the experiment.
http://www.google.com/#q=experiment+definition
http://www.google.com/#q=experiment+sample+point+space
What example have you chosen?
An experiment refers to a systematic and controlled procedure that is conducted to study the outcomes of a specific event or situation. In other words, it is a method to gather data and test hypotheses.
Let's consider a simple example of flipping a fair coin.
(a) Sample Point:
A sample point in an experiment represents a specific outcome of the event being observed. In the case of flipping a coin, a sample point would be the outcome of a single flip, which can either be "heads" or "tails". So, a sample point could be "heads" or "tails".
(b) Sample Space:
The sample space is the set of all possible outcomes of an experiment. In our coin flipping example, the sample space consists of two sample points, namely "heads" and "tails". So, the sample space would be {H, T}, where H represents heads and T represents tails.
(c) Event:
An event is a subset of the sample space that corresponds to an outcome or a combination of outcomes. In our coin flipping example, an event could be "getting heads". So, the event would consist of the sample point "heads".
To summarize, in the experiment of flipping a coin:
- A sample point represents a specific outcome (heads or tails).
- The sample space is the set of all possible outcomes (H, T).
- An event is a subset of the sample space associated with an outcome (e.g., getting heads).