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.5/6 b. 5/12 c.1/3 d. 2/3

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The uniform distribution is represented by a rectangle with base length 12-6=6 and height 1/(12-6)=1/6, making the area=1, the total of all probabilities. 10ft is 2/3 of the distance (and area) between 6 and 12 feet, so that’s a probability of 2/3, answer d, because the total of probabilities for ≥10 is the area split off by a vertical line drawn at x=10, where x ranges from 6 to 12. (10-6)/(12-6)=4/6=2/3.

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