MD.4.S.3

(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated. (+) Find the expected value. For example: Find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.

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?
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