Question

Think of something that you might want to measure that is affected by random variation.  Identify what you want to measure, then describe its (approximate) sample space. Give a rough description of the probabilities associated with those values (you can simply specify if they are all the same probability or if values in one range will be more likely than values in another range). What would you say to a person who says that he or she "knows" what the outcome of an individual observation will be (an outcome of something that has not happened yet that is subject to random error)?

When forming your answer to this question you may give an example of a situation from your own field of interest for which a random variable can serve as a model.

Answer 1

Example

If we throw a coin then probability of event head or tail will be 1/2 or if we roll a dice then probability of getting 1,2,3,4,5 and 6 will be 1/6. Hence in this example both of cases probability are equal for each event.

But if we have a 3 green balls and 5 blue balls in container

the probability of drawing green balls is 3/8 and probability of blue balls is 5/8

Therefore in this example probability are not equal for green and blue ball.

Hence probability is affected by random variation.

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