S-MD.4
Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households?
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 park ranger counts bicycles passing a trail counter each hour. Let H be the count recorded.
Find the indicated probability.
| H | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| P(H) | 0.10 | 0.35 | 0.40 | 0.15 |
Find the indicated probability.

1-on-1 AI tutoring aligned to S-MD.4. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →