A simple example of the difference between ideal and non- ideal conditions is the rolling of a

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A simple example of the difference between ideal and non- ideal conditions is the rolling of a die.


Required

a. Calculate the expected value of a single roll of a fair die.

b. Now suppose that you are unsure whether the die is fair. How would you then calculate the expected value of a single roll?

c. Continuing part b, now roll the die four times. You obtain 6, 4, 1, 3. Does this information affect your belief that the die is fair? Explain.


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