A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 3%. (a) The inspector randomly picks 20 items from a shipment. What is the probability that there will be at least one defective item among these 20? (b) Suppose that the retailer receives 10 shipments in a month and the inspector randomly tests 20 devices per shipment. What is the probability that there will be exactly 3 shipments each containing at least one defective device among the 20 that are selected and tested from the shipment?
Added by Jennifer A.
Close
Step 1
- We need to find the probability that there is at least one defective item among 20 items. - The defective rate is 3%, or 0.03. Show moreā¦
Show all steps
Your feedback will help us improve your experience
Narayan Hari and 71 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
large retailer purchases a certain kind of product from a manufacturer. The manufacturer indicates that the defective rate of the product is 3% in a shipment: The inspector of the retailer randomly picks 20 items of the product from a shipment: What is the probability that there will a be (3) defective items? b: not be more than two (2) defective items?
David N.
(c) The inspector randomly picks 10 items from a shipment. What is the probability that there will be at least one defective item among these 10 items? (d) Suppose that the retailer receives 4 shipments in a month and the inspector randomly tests 10 items per shipment. What is the probability that there will be exactly one shipment containing exactly one defective device among the ten items selected and tests from the shipment? (e) Suppose that the retailer receives 4 shipments in a month and the inspector randomly tests 10 items per shipment. What is the probability that there will be at least one shipment containing exactly one defective device among the ten items selected and tests from the shipment?
Sri K.
Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors. The first inspector detects 90$\%$ of all defectives that are present, and the second inspector does likewise. At least one inspector fails to detect a defect on 20$\%$ of all defective components. What is the probability that the following occur? (a) A defective component will be detected only by the first inspector? By exactly one of the two inspectors? (b) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)?
Probability
Independence
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD