A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 65% are brand A, 30% are brand B, and 5% are brand C. They have found that 15% of the brand A computers, 10% of the brand B computers, and 5% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer? Question content area bottom

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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A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 60% are brand A, 25% are brand B, and 15% are brand C. They have found that 20% of the brand A computers, 15% of the brand B computers, and 10% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer? The probability that it is a brand A computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand B computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand C computer is (Type a decimal. Round to three decimal places if needed.)
A murder scene is found with two types of blood - that of the victim and that ofthe murderer. As luck would have it, the unidentified blood has an incredibly rareblood disorder, only found in 1 in every million men. The capital and surroundingareas have a population of 20 million - and the police are sure the murderer isfrom the capital. The police have already started cataloging all citizens' bloodtypes for their new super crime-database. They already have nearly 1 millionmale samples in there - and bingo - one man, Mr XY, is a match. He is promptlymarched off to trial, there is no other evidence, but the jury are told that the oddsare 1 in a million that he is innocent. He is duly convicted. The question is, howlikely is it that he did not commit this crime?
Allen Allenby runs the hot dog concession at the local high school's football games and is responsible for forecasting the number of hot dogs they'll need on any given Friday night. Allen believes that hot dog demand follows a normal distribution with mean 309.75 and standard deviation 164.17. What is the probability that on any Friday evening, demand for hot dogs will not exceed 6 hot dogs? Hint: Be very careful when entering answers smaller than 0.0001. Pr{ X <= 6 } =
Overbooking is the practice of selling more items than are currently available. Overbooking is common in the travel industry; it allows a vehicle (airline, train, bus, cruise ship, hotel, and so forth) to operate at or near capacity, despite cancellations, no-shows, or late arrivals. Overselling is when more confirmed customers show up to use the vehicle than there is space available. When this happens, at least one customer will be denied the service that they paid for, either voluntarily (sometimes with an incentive provided by the supplier) or involuntarily. This is called getting "bumped." Suppose that for a particular flight, an airline believes that 2% of ticket holders do not make the flight. The jet making the trip holds 189 passengers. If the airline sells 192 tickets, what is the probability that the flight will be oversold and they will have to bump a passenger? Assume that cancellations are independent. Calculate the probabilities that one, two, and three people will be…
A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram.What is the probability that a randomly selected customer purchases the basic or classic car wash if they vacuum their car?A) 0.13B) 0.48C) 0.52D) 0.80
The department of code enforcement of a country government issues permits to general contractors to work on residential projects. For each permit issued, the department inspects the result of the project and gives a "pass" or "fail" rating. A failed project must be re-inspected until it receives a pass rating. The department had been frustrated by the high cost of re-inspection rate and decided to publish the inspection records of all contractors on the web. It was hoped that public access to the records would lower the re-inspection rate. A year after the web access was made public, two samples of records were randomly selected. One sample was selected from the pool of records before web publication and one after. The proportion of projects that passed on the first inspected was noted for each sample. The results are summarized below. No Public Web Access nį = 500, ĝ1 = 0.67 Public Web Access n2 = 100, p2 = 0.80 A test, at a 0.10 level of significance, is to be conducted as to whether…
I conduct an online study to determine whether rewards reduce procrastination. All participants are asked to complete a task sometime before a deadline (10 days from now). The computer randomly assigns participants to one of three groups, and emails them their instructions; one group receives a reward as soon as they do the task (contingent reward); a second group receives rewards as soon as they finish the task as long as it is before the deadline (non-contingent reward) and the third group does not receive rewards at all (no reward). Three participants in the no reward condition do not complete the task, and so are dropped from analyses. The dependent variable is the amount of time (in days) it takes participants to complete the task. The JAMOVI output is attached. Post-hoc Tukey tests show that... (select all that apply) ANOVA ANOVA - Time Reward Residuals Assumption Checks Homogeneity of Variances Test (Levene's) F df1 df2 0.056 Statistic 0.964 Sum of Squares df Mean Square F…
As you read about each study, (a) classify the type of research that it reflects, and (b) identify the kinds of conclusions that might reasonably be drawn from the results. An educational psychologist videotapes 20 high school history teachers in action for a period of 4 weeks. He then codes every teacher statement as belonging to one of three categories: whether it (a) presents new information, (b) asks a question, or (c) gives instructions. He summarizes this information and compares the amount of teacher questioning to the students' scores on a district-wide history achievement test given later in the year. The researcher finds that when teachers ask a lot of questions in class, students are more likely to score at high levels on the achievement test. (a) Classify the research as one of the following: Quantitative/descriptive Quantitative/correlational Quantitative/experimental Quantitative/quasi-experimental Qualitative Mixed methods, and…
A market researcher wants to determine whether a new model of a personal computer that had been advertised on a late-night talk show had achieved more brand-name recognition among people who watched the show regularly than among people who did not. After conducting a survey, it was found that 12% of all people both watched the show regularly and could correctly identify the product. Also, 13% of all people regularly watched the show and 39% of all people could correctly identify the product. Define a pair of random variables as shown below. Complete parts (a) through (c). X=1 if regularly watch the show Y=1 if product correctly identified a. Find the joint probability function of X and Y X 0 1 (Do not round.) 0 X=0 otherwise Y=0 otherwise 1 CLLL 2 xdex ram
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants per year. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 100 households in the region led by people ages 25 to 34 and 100 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,924 in restaurants during the previous 12 months. Use Excel to calculate the z-score for the data value that represents the household that spent $1,924 in restaurants for each group. Round your answers to two decimal places. Provide your answer below: 25 to 34 45 to 54…