Suppose this distribution represents the probabilities of extending our class minutes past the "end of class" time. The variable is Select an answer because there exist fractional amounts of time. The total area of the distribution rectangle is , which makes sense as it is a probability distribution and the sum of all the probabilities should be 1. The probability (in decimal form) of the class extending 3 or more minutes beyond the end time is , found by determining the area to the right of or the complement of the area to the left. The probability (in decimal form) of the class extending 3 or less minutes beyond the end time is , found by determining the area to the left of . Remember that when we read our distribution tables for many of our distributions, the area quoted in the tables is to the left, so it is important to be able to recognize the need for using the complement to find the area to the right.

Q&A Education