Quality assurance department of software house reveals that 6% of programming code contain logical errors. Quality check software is developed to analyze code and in a test, identifies the error in 97% of the code with errors and 4% of those without. If code is marked by the program as possibly having a logical error, what is the probability that the code DOES have an error?

Sommelier4U is a company that ships its customers bottles of different types of wine and then has them rate the wines as “Like” or “Dislike.” For each customer, Sommelier4U trains a classification tree based on the characteristics and customer ratings of wines that the customer has tasted. Then, Sommelier4U uses the classification tree to identify new wines that the customer may Like. Sommelier4U recommends the wines that have a greater than 50% probability of being liked. Neal Jones, a loyal customer, has provided feedback on hundreds of different wines that he has tasted. Based on this feedback, Sommelier4U trained and validated the following classification tree: For these 178 wines, the tree only misclassifies two wines. These wines have the following characteristics: Wine 1: Proline = 735, Ash = 2.88, Flavanoids = 2.69, Magnesium = 118 Wine 2: Proline = 680, Ash = 2.29, Flavanoids = 2.63, Magnesium = 103 Based on this information, construct the confusion matrix based on the 178…

A project has a 60% of super success earning $50,000, a 15% chance of mediocre success earning $20,000, and a 25% probability of failure losing $30,000. What is the EMV of the project?

Words that are more likely to be contained in a phishing scam are called flagged words. Typically, there is a 94% chance that a phishing scam contains flagged words. There is a 20% chance that regular email contains flagged words. A security company estimates that 4.9% of emails are phishing scams. An email just came through that contains a flagged word. What are the chances that it is a phishing scam? (Enter the probability as a decimal rounded to four decimal places.)

The Literary Digest was an American magazine that ran from 1890–1938.  The magazine was famous for correctly predicting presidential winners since 1916 based on poll results.  In 1936, however, it erroneously predicted that Alfred Landon would defeat Franklin Delano Roosevelt.  This fiasco ultimately resulted in the magazine going out of business.   The reason for The Literary Digest’s incorrect results has been studied throughout the years and is a famous example in statistics classes.  One reason that researchers have found for the faulty results is that even though the magazine polled ten million people, the return rate of the surveys was around 23%.  What type of bias is this?     voluntary response bias     non-response bias     self-interest study     loaded questions     sampling bias     perceived lack of anonymity     response bias

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.