advertisement

Density Curves Weight of newborns Nearest pound 4 5 6 7 8 9 Nearest tenth of pound 4 5 6 7 8 9 Fit more & more rectangles It approaches a curve as the rectangles become smaller & has greater accuracy. Density Function • Describes the overall pattern of a distribution. • The area under the curve and above any interval of values on the horizontal axis is the proportion of all observations that fall in that interval. • The graph is a smooth curve called the density curve. • Total area under the curve = 1. Uniform Distribution All occur in equal distributions Ex: .5 if 4 x 6 f ( x) 0 otherwise What’s the area from 4.5 to 5.5? What’s the area from 5.5 to 6? If we have a uniform continuous function from 3 to 8, find the height. Ex. 0.02 50 minutes Find P(x < 10) Find P(x < 35) 0.25 Ex: Find P(x<4) Find P(x<2) 0.02 Ex: 50 Find P(x<20) Find P(x>70) Find P(20<x<70) 100 Homework Page 353 (1-7) odd (21, 27, 33, 34) Worksheet