Think of something that you might want to measure that is affected by random var

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.

Explanation / Answer

Let's take random variable Number of heads in tossing a fair coin 10 times. If we repeatedly toss fair coin 10 times, then we are expected to get 5 heads and 5 tails because the probability of getting a head or tail is 0.5. If we repeatedly toss a fair coin 10 times, its not always possible to get 5 heads and 5 tails. we ometimes can get 4 heads 6 tails or 2 heads and 8 tails and so on. This is because of random chance. This random variable can be modeled as binomial random variable with n=10 and p=0.5.

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