There are two batches of the same product. In one batch all products are conforming. The other batch contains 20% non-conforming products. A batch is selected at random and one randomly selected product from that batch is inspected. The inspected product was foundconforming and was returned back to its batch. What is the probability that the second product, randomly selected from the same batch,

There are two batches of the same product. In one batch all products are conforming. The other batch contains 20% non-conforming products. A batch is selected at random and one randomly selected product from that batch is inspected. The inspected product was foundconforming and was returned back to its batch. What is the probability that the second product, randomly selected from the same batch,

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 18% of all ticks in a certain location carry Lyme disease, 6% carry HGE, and 6% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.) 0.76
A CD-manufacturer claims that 90% of its CD's are defect-free. A retailer receives a shipment of 400 CD's and will accept the shipment only if more than 370 are defect free. What is the probability that the retailer will accept the shipment?
The patients were grouped in 4 categories: one for each drug, and a control group. The patients in the control group were not given any drug to treat the disease. The following table shows the results of the study: Suppose we randomly select a patient from this study, 1. If you know that the patient we selected was cured in less than three months, what is the probability that she was treated with drug 1? 2. What is the probability that the patient was treated with any of the drugs and was cured between 6 and 12 months from the start of the treatment?
To avoid being stuck with a shipment of defective HDTV sets, a large retailer tests a random sample of three televisions for defects before purchasing the entire shipment. If any of the three HDTV sets are defective, the entire shipment is rejected. If a manufacturer of HDTV sets has a 1.2% defect rate, what is the probability that a shipment of its HDTV sets will be rejected by this retailer?
Electrical engineers recognize that high neutral current in computer power systems is a potential problem. A survey of computer power system load currents at U.S. sites found that 10% of the sites had high neutral to full-load current ratios (IEEE Transactions on Industry Applications). If a random sample of five computer power systems is selected from a large number of sites in the country, what is the probability that exactly three will have a high neutral to full-current load ratio?
Detecting terrorists is a real problem, one that causes governments to spend millions per year. A particular surveillance system has been developed which correctly identifies a future terrorist 99% of the times and detects someone who is not a future terrorist 99.9% of times. Suppose that in a population of 300 million, there are 1000 potential/future terrorists. If one of these 300 million is randomly selected and scrutinized by the system, what is the probability that the person selected is actually a future terrorist? Also explain if the value of this probability makes you uncomfortable about using a surveillance system? Explain.
The television show Ghost Whistler has been successful for many years. That show recently had a share of 21, which means, that among the TV sets in use, 21% were tuned to Ghost Whistler. An advertiser wants to verify that 21% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a Ghost Whistler broadcast.Find the probability that none of the households are tuned to Ghost Whistler.P(none) = Find the probability that at least one household is tuned to Ghost Whistler.P(at least one) = Find the probability that at most one household is tuned to Ghost Whistler.P(at most one) = If at most one household is tuned to Ghost Whistler, does it appear that the 21% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Ghost Whistler unusual?) yes, it is wrong no, it is not wrong
What is the probability of finding an H2O based compound with a blue label in a storage facility of 1,000 vials. We know there are 22 vials of H2O based compound in the facility, and that 800 of the total number of vials in the facility have blue labels.
For the same class you were asked to do some research on transfers bt two-year and four-year colleges. According to federal data on the year-round student population, in 2015-16 49% of all students completing a degree at a four-year college had been enrolled in a two-year colleges in the previous 10 years. If you take a random sample of 10 of these graduates, what is the probability that exactly 4 of them will have been enrolled in a two-year college in the last 10 years?
A manufacturer wishes to estimate the accuracy of its final visual inspection process. A random sample of 180 devices is selected from production. An item is defective or “bad” if it contains at least one visually noticeable cosmetic defect. The process improvement team agrees that the sample contains 27 bad items and 153 good items. The team gives the items to a “certified” operator for inspection. The operator rejects 10 good pieces and accepts 11 bad pieces and classifies the remainder correctly. What is the probability that the inspector will reject an item? P(inspector will reject an item) = ________%. Enter value using one decimal place.