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
A different product's reviews have the following distribution for star ratings T.
Find the indicated probability.
| T | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| P(T) | 0.08 | 0.12 | 0.28 | 0.30 | 0.22 |
Find the indicated probability.
A factory records B, the number of defective bolts in a standard batch.
Find the missing probability in the table.
| B | 0 | 1 | |
|---|---|---|---|
| ? |
Find the missing probability in the table.
A fair coin is tossed 12 times. Let be the number of tosses that land heads.
Write an expression that can be used to find .
Write an expression that can be used to find .

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