Describe the graph of this distribution.

Question

A sawmill makes boards that are used in construction projects. The board lengths of two-by-fours produced by this sawmill are uniformly distributed from 6 ft to 12 ft. a. a relative-frequency table b. a graph c. an equation d. all of the above

Answer 1

The graph is a rectangle. The lower limit of the graph is 6 and the upper limit is 12, because the distribution is uniform. The base length is 12-6=6. The height is 1/6, the same probability for all lengths. The area of the rectangle is 1 including all probabilities. The graph can be represented by a piecewise function f(x)=

{ 1/6 | 6≤x≤12

{ 0 | x<6 or x>12

Answer d is probably applicable.