Computer screening of tax returns is used to flag tax forms that need to be investigated further. The methodcorrectly flags 85% of all erroneous returns and incorrectly flags 5% of error-free returns. The pool of taxreturns submitted for computer screening contains 15% with errors.(a) A tax return is randomly screened. What is the probability that it is flagged by the computer and has anerror?(b) What is the probability that a random tax form is flagged by the computer?(c) If a tax return is not flagged by the computer, what is the probability that it is correct?

(a)Denote F as the event that the computer flags the tax return and E be the event that the tax…

Answered: Computer screening of tax returns is…

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...

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How would you make a probability assignment to this sample space if, when you drop 500 tacks,350 land flat side down?
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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.
An IRS auditor randomly selects 3 tax returns fro 49 returns of which 6 contain errors. What is the probability that she selects none of those containing errors?
Just before a city referendum on a school budget, a local newspaper polls 450 voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the budget actually has the support of 52% of the voters. What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum, that is, what is the probability that the newspaper's sample results in a sample proportion p̂ less than 0.50 in favor of the referendum?
To avoid detection at customs, a traveler places 7 narcotic tablets in a bottle that contains 14 apparently similar vitamin pills. If the customs officer selects 7 of the tablets at random from the bottle for analysis. What is the probability that the traveler will be arrested for illegal possession of narcotics? Answer: Answer What is the probability that the traveler will not be arrested for illegal possession of narcotics? Answer: Answer What is the average number of narcotic pills the customs officer can find? (if not an integer, round up to the next integer) Answer: Answer Note: Answer with at least 4 decimal places
Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida drivers are involved in an accident, what is the probability that more than one of them are uninsured?
An accounting firm has found that 8 out of 12 companies audited contain minor errors in their books. What is the probability that rd the 3 company audited contained the 1 minor error found.
Suppose 40% of the restaurants in a certain part of a town are in violation of the health code. A health inspector randomly selects six of the restaurants for inspection. (Round your answers to four decimal places.) (a) What is the probability that none of the restaurants are in violation of the health code?(b) What is the probability that one of the restaurants is in violation of the health code?(c) What is the probability that at least two of the restaurants are in violation of the health code?
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.

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