Back to Develop an empirical probability distribution — Problem 1 · Task Set 30
Exercises: Develop an Empirical Probability Distribution and Find Its Expected Value
Work through each section in order. To turn a frequency table into a probability distribution, estimate each probability as a RELATIVE FREQUENCY: count divided by total (or percent divided by 100). Every probability must be between 0 and 1, and they should sum to about 1. Compute the expected value as $E(X) = \sum x \cdot P(X = x)$, and scale to a population total with $n \cdot E(X)$. State any modeling choice you make for an open-ended category. Round as directed.
Grade 11·23 problems·~38 min·Common Core Math - HS Statistics and Probability·group·hss-md-a-4
Work through problems with immediate feedback
A
Fluency Practice
Build distributions, check the sum, and compute expected values.
1.
A survey of 250 households records the number of children. The table gives raw counts.
| Children | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Count | 50 | 75 | 100 | 25 |
Estimate as a relative frequency, written as a decimal.