advertisement

Question 2.16 Facts: A density curve always has an area of 1 under it. Uniform means “the same.” At the top of page 92 it says: The density curve of the outcomes has a constant height between 0 and 2 and 0 elsewhere. This tells us that we need a curve that has a constant height, between 0 and 2. If the height is constant, it must be a horizontal line. If it is from 0 to 2, but the area must equal 1, it must be at a height of ½. This would give you a rectangle with a length of 2 but a height of ½ : total area = 1. 1 a. ½ 0 b. c. d. 1 2 50% of the outcomes are less than 1, M = 1, Q1 = .5, Q3 = 1.5 For .5 < X < 1.3, the proportion is the length (.8) times the height (.5) = .4 or 40%.