# Difference between revisions of "Eleisha's Segment 17: The Towne Family - Again"

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<math> \text{Mean} = E(x) </math> | <math> \text{Mean} = E(x) </math> | ||

− | <math> E(x) = \int_0^2 xp(x) dx = \int_0^2 x\left(1 - \frac{x}{2}\right) dx = \frac{x}{2} - \frac{x^3}{6} \Big|_0^2 = \frac{2}{3}</math> | + | <math> E(x) = \int_0^2 xp(x) dx = \int_0^2 x\left(1 - \frac{x}{2}\right) dx = \frac{x^2}{2} - \frac{x^3}{6} \Big|_0^2 = \frac{2}{3}</math> |

3. What is its cumulative distribution function (CDF)? | 3. What is its cumulative distribution function (CDF)? |

## Revision as of 15:15, 24 February 2014

** Class Activity **

1. Sketch the distribution **Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p_X(x)}**

2. What is the distribution's mean and standard deviation? Mean:

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{Mean} = E(x) }**

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E(x) = \int_0^2 xp(x) dx = \int_0^2 x\left(1 - \frac{x}{2}\right) dx = \frac{x^2}{2} - \frac{x^3}{6} \Big|_0^2 = \frac{2}{3}}**

3. What is its cumulative distribution function (CDF)?