GreenLeaf Logistics is assessing two critical risks for a pe…

GreenLeaf Logistics is assessing two critical risks for a perishable food shipment: spoilage during packing (discrete defects) and delivery delays (continuous time). Packing Quality: The package quality measured in terms of number of defects follows binomial distribution. According to past data, 5% of vacuum-sealed packages have a problem with the seal. A quality assurance officer randomly selects a sample of 10 packages from the production line. What is the probability that exactly one package in this sample is defective? Delivery Time: The delivery time from the warehouse to the retailer follows a normal distribution with a mean (

TechParts Inc. relies on a specific supplier for microchips….

TechParts Inc. relies on a specific supplier for microchips. Historical data indicates that this supplier meets the “On-Time In-Full” (OTIF) delivery metric 80% of the time. The supply chain manager reviewed the records for the last five shipments. What is the probability that exactly 3 of these shipments met the OTIF standard?