STAT 008 | Lab #10. Application of the Normal Distribution Page 5 of 6 With the increase use of the internet for ordering products, gifts, etc., some businesses are allocating more employee hours to fulfilling and delivering these orders than working in a storefront. A local flower shop has recently started taking orders online and is trying to determine if another delivery van is required to meet the number of daily deliveries it must make. Although it changes on a day-to-day basis, records indicate that the number of deliveries per day is approximately normally distributed with a mean of 78 and a standard deviation of 12. A Normal r.v. is characterized by its mean and standard deviation. Identify these values for this problem. Hx Find the probability of interest, including completing the sketches for each problem. 1) What is the probability that on any given day, the flower shop will make less than 70 deliveries? 2) What is the probability that on any given day, the flower shop will make between 60 and 100 deliveries? STAT 008 Z Z AFlores 10.21 STAT 008 | Lab #10 Page 6 of 6 3) What is the 50th percentile for the number of deliveries the flower shop will make on any given day? 4) What is the 95th percentile for the number of deliveries the flower shop will make on any given day? N