S.MD.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
Ramkin is going to flip a fair coin 1,200 times.
What is the best prediction for the number of times that the coin will land heads up?
What is the best prediction for the number of times that the coin will land heads up?
Elizabeth is going to flip a fair coin 100 times.
What is the best prediction for the number of times that the coin will land tails up?
What is the best prediction for the number of times that the coin will land tails up?
A fair coin is flipped 5 times. Let be the number of heads. What is the expected value of ?

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