he graph at any point represents the relative frequency of that point. s are all points on a The total area under the curve is equal to 1 since the sum of all probabilities in a probability distribution is 1. This follows from our work with discrete random variables where the sum of all probabilities is equal to 1. 2 Suppose you define a continuous random variable as the time it takes to pack a customer order for shipping at a particular company, and the results are uniformly distributed between 5 and 15 minutes (i.e., the probability for each packing time is the same). The distribution is represented by the graph below. A If the area of the rectangle is 1, what is the height of the rectangle? (Use it to label the vertical axis.) 3 What is the probability that an order takes 15 minutes or less to pack? C What is the probability that an order takes 12 minutes or more to pack? packing time (minutes) What is the probability that an order takes between 9 and 13 minutes to pack? What is the probability that an order takes less than 8 minutes or more than 11 minutes to pack? LL What is the probability that an order takes more than 25 minutes to pack? If the supervisor wants to study the 20% of orders taking the longest time to pack, he needs to study orders taking at least how long? PAGE 1 STATWAYTM STUDENT HANDOUT