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Example Problems
A fair coin is flipped 5 times. Let be the number of heads. What is the expected value of ?
In a game you roll a fair six-sided die. You receive (3 times the number showing) dollars minus 5 dollars. What is the expected payout?
A photocopier has a chance of breaking this month, which would cost to repair; otherwise, there is no repair cost. What is the expected repair cost for the month?
A fair six-sided die is rolled 9 times. Let = the number of times a appears.

What is the
probability that the die shows a exactly times?

Round your answer to the
nearest hundredth.
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