Question *A printer manufacturer obtained the following probabilities from a database of testresults. Printer failures are associated with three types of problems: hardware,software, and other (such as connectors), with probabilities 0.1, 0.6, and 0.3,respectively. The probability of a printer failure given a hardware problem is 0.9, given asoftware problem is 0.2, and given any other type of problem is 0.7. If a customer entersthe manufacturer's Web site to diagnose a printer failure, what is the most likely causeof the problem?None of theseSoftware categoryOther categoryHardware category

Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Answered: Question * A printer manufacturer…

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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There are three modes of transporting material from Boston to Houston: by land (either by highway or railway), seaor air. Half of the materials are transported by land20% by sea, and the rest by air. Also, 60% of all land transportation is by highway and the rest is by rail shipments.Cargo traveling by each mode of transportation has a different probability of being damaged during shipment. The percentages of damaged cargo are as follows: 12% by highway, 3% by rail, 5% by seaand 2% by airIf a damaged cargo is received, what is the probability that it was shipped by sea?
A manufacturing company produces two types of smartphones, A and B. 30% of the smartphones produced are type A, while 70% are type B. The defect rate for type A smartphones is 2%, while the defect rate for type B smartphones is 4%. If a customer receives a defective smartphone, what is the probability that it is of type A? Show your calculations and reasoning.
3. A construction company submits bids for two projects. Listed in Table 1 are the profit and probability of winning each project. Assume that the outcomes of the two bids are independent. Profit $75,000 Project A Project B $120,000 Chance of Winning Bid 0.50 0.65 Table 1: Projects, Bids, and Profits (a) List the possible outcomes (win/not win) for the two projects and find their probabilities. (b) Let X denote the company's total profit out of the two contracts. Determine the probability distribution of X. (c) If it costs the company $2000 for preparatory surveys and paperwork for the two bids, what is the expected net profit?
a recent senatorial election, 58% of the voters in a certain district were registered as Democrats, 32% were registered as Republicans, and 10% were registered as Independents. The cumbent Democratic senator was reelected over her Republican and Independent opponents. Exit polls indicated that she gained 79% of the Democratic vote, 30% of the Republican ote, and 34% of the Independent vote. ASsuming that the exit poll is accurate, what is the probability that a vote for the incumbent was cast by a registered Republican? (Round your nswer to three decimal places.) E Show My Work (Optional) ?
Each month a brokerage house studies various companies and rates each company's stock as being either "low risk" or "moderate to high risk." In a recent report, the brokerage house summarized its findings about 18 aerospace companies and 55 food retailers in the following table: Company Type Aerospace company Food retailer Low Risk 10 25 Probability If we randomly select one of the total of 73 companies W (a) Find the probability that the company's stock is moderate to high risk given that the firm is an aerospace company. (Round your answer to 4 decimal places.) Moderate to High Risk 8 30 0.4444
Problem (2): TV or a DVR? A consumer electronics company has observed that 36% of their customers purchased an LED screen television, 26% of their customers purchases a DVR, and 12 percent of their customers purchased both an LED screen TV and a DVR. Find the probability that a randomly chosen customer either purchases a plasma screen TV or a DVR.
The accidents that occur in a manufacturing company were classified by severity (strong, moderate and mild) and by sex with the following characteristics: 40% of the accidents were strong and 30% were moderate. Women suffered 20% of the accidents. Of the total number of serious accidents, men suffered 85.5% of the accidents. Similarly, of the total moderate accidents, women suffered 45% of the accidents. Calculate the following probabilities:- If a woman suffered an accident, what is the probability that it was minor?- If a man suffered an accident, what is the probability that he is strong?
Problem #8: The backoff torque required to remove bolts in a steel plate is rated as high, moderate, or low. Historically, the probability of a high, moderate, or low rating is 0.57, 0.23, or 0.2, respectively. A sample of 16 bolts are selected for testing. Let X, Y, and Z denote the number of bolts that are independently rated as high, moderate, and low, respectively. Determine the following probabilities. Problem #8(a): Problem #8(b): (a) P(X= 11, Y=2, Z=3) (b) P(X=7| Y= 4) Answer correct to 4 decimals Answer correct to 4 decimals
A social event allows free entrance to those with Aim High credit card or those with the car Elite. The probabilities of having Aim High and Elite among the employees of a company are 0.10 and 0.05, respectively. Having Aim High is found to be independent of owning Elite. If 1,000 invitations are sent randomly to employees of the company, estimate the number who will be given free entrance.
Maximus Steel plans to introduce one of three new products code-named: Wren, Hawk, and Nightingale. The marketing department indicated that the success of any product depends on the market conditions (Favorable, Neutral, or Unfavorable). The profit the company will earn also depends on the market conditions. The table below shows the probability estimated for each market condition and the profits Maximus Steel will realize within those conditions: Product Code Market Conditions Favorable P = 0.2 Neutral P = 0.7 Unfavorable P = 0.1 Wren $120,000 $70,000 ($30,000) Hawk $60,000 $40,000 $20,000 Nightingale $35,000 $30,000 $30,000 Maximus Steel is considering hiring a market research firm to do a survey to determine future market conditions. The results of the survey will indicate either positive or negative market conditions. There is a 0.60 probability of a positive report, given favorable conditions; a 0.30 probability of a positive…

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