Suppose a computer company hasmanufacturing plants in three states.50% of its computers are manufactured inCalifomia, and 85% of these are desktops;30% of computers are manufactured inWashington, and 40% of these are laptops;and 20% of computers are manufactured inOregon, and 40% of these are desktops. Allcomputers are first shipped to adistribution site in Nebraska before beingsent out to stores. If you picked acomputer at random from the Nebraskadistribution center, what is the probabilitythat it is a laptop?

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Answered: Suppose a computer company has…

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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You're a sociologist studying whether grocery prices are different in the inner cities than they are in the suburbs. To investigate this, you pick a random set of items (a basket of goods), and then send shoppers to buy these items at an inner city (IC) grocery, and also at a suburban (SU) grocery. You pick 27 different baskets of goods, so your secret shoppers buy 27 baskets, once at the inner city store, and once at a suburban store. The data is given in the dataset named "ICvSU_2799.xls", which you can find in data folder under Course Documents. Prices could be higher in the inner city because of discrimination, or they could be higher in the suburbs because of the greater disposable income. Use Excel to test the research hypothesis that inner city prices are different than the suburb's prices. The null hypothesis is that inner city prices are equal to suburban prices. You test at the alpha = 0.01 significance level. What do you conclude? Are prices the same? Who has higher…
In a random sample of 1,000 people, it is found that 7% have a liver ailment. Of those who have a liver ailment, 40% are heavy drinkers, 50% are moderate drinkers, and 10% are nondrinkers. Of those who do not have a liver ailment, 10% are heavy drinkers, 70% are moderate drinkers, and 20% are nondrinkers. If a person is chosen at random and he or she is a heavy drinker, what is the probability of that person having a liver ailment? What is the probability for a nondrinker?
Assume that shoes are produced in three countries: 20 percent in Korea, 40 percent in Canada, and 40 percent in China. At the plant in each country, two types of shoes are made: racing shoes and training shoes. The production at each plant as allocated as shown in the table below. The shoes are randomly distributed to stores in the United States, and you purchase one pair from one of these stores. Plant Racing Training Korea 0.45 0.55 Canada 0.65 0.35 China 0.25 0.75 If you purchase a pair of training shoes selected at random, what is the probability that they were made in Korea?
Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Three boards are selected from each lot randomly for inspection. If we number the boards 1, 2, 3, 4, and 5, a possible random selection is (2, 4, 5). a. List the ten different possible selections. b. Suppose that the boards 1 and 4 are the only defective boards in a lot of five. Three boards are to be chosen at random. Define X as the number of defective boards observed among those inspected. Find the probability distribution (pmf) of X.
16. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.6% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick twelve first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.What is the standard deviation (?)? (Round your answer to four decimal places.)? = ___________
A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6 7 8 Process 1 64 65 32 76 76 90 75 71 Process 2 62 73 9 61 53 93 77 77 52 Difference 2 -8 23 15 23 (Process 1 - Process 2) 33 -3 -2 19 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding Hd (which is μ with a letter "d" subscript), the population mean difference in assembly times for the two processes.…
2. A political scientist developed a test designed to measure the degree of awareness of current events. She wants to estimate the average score that would be achieved on this test by all students in a certain high school. The administration at the school will not allow the experimenter to randomly select students out of classes in session, but it will allow her to interrupt a small number of classes for the purpose of giving the test to every member of the class. Thus, the experimenter selects 25 classes at random from the 108 classes in session at a particular hour. The test is given to each member of the sampled classes, with results as shown in the accompanying table. Number of students, mi Total score, yi Class 1 31 1590 2 29 1510 3 25 1490 4 35 1610 5 15 800 6 31 1720
250 adults are practicing every day before taking part in a high-stakes children's game. The game requires them carefully to remove a shape- either a star or an umbrella-from a sugar wafer. 30% of those who choose stars on a given day will switch to umbrellas the next day, and 20% of those who choose umbrellas on a given day will switch to stars the next day. (a) If 150 contestants practice with stars today, how many will practice with umbrellas tomorrow? (b) If the actual game is held a long time from now, what proportion of contestants do we expect will be practicing with stars each day close to then?
Bowl A contains 2 red chips; bowl B contains two white chips; and bowl C contains 1 red chip and 1 white chip. A bowl is selected at random, and one chip is taken at random from that bowl.
Imagine you are a researcher interested in the effects of marijuana on beliefs in conspiracy theories. The study involves two groups, to which people are assigned by chance: Group A takes a pill that contains the active ingredient in cannabis, THC, while Group B are given a harmless placebo pill. Neither the people conducting the study nor the participants know who is getting the drug and who is not. After taking the pill and completing some filler tasks, participants are given a series of surveys to complete. One of these theories asks them to indicate the extent to which they believe in different conspiracy surveys (e.g., a secret group like the Illuminati controls the world, Obama was not born in the US & is secretly a Muslim, 9/11 was an inside job, the moon landing was faked).
3. The following experiment was carried out to evaluate a drug for the prevention of heart attacks. The subjects were 3,900 middle-aged men with heart trouble. Out of these men, 1,100 were assigned at random to receive the drug, and the remaining 2,800 were given a placebo. The subjects were followed for five years. In the group that received the drug, there were 220 deaths; in the placebo group, there were 588 deaths. Note that 220 is 20% of the treatment group, and 588 is 21% of the control group. Someone argues as follows: “A 1% difference may not seem like much, but 1% of a million, for example, is 10,000. The drug will save tens of thousands of lives.” Should we be convinced by the difference between the two groups, or do you think the results are just due to chance? Carry out all the steps of a hypothesis test and state your conclusion.
The enrolled student population at Indiana University-Bloomington, both undergraduate and graduate, is 64.9% White, 7.76% Asian, 7.32% Hispanic or Latino, 4.52% Two or More Races, 4.26% Black or African American, 0.0463% American Indian or Alaska Native, and 0.0287% Native Hawaiian or Other Pacific Islanders. Suppose that in a random sample of 250 students, 40 of them are Asian. Suppose we sample another 250 students from this population, what is the expected proportion of Asian students? b. a. C. Suppose we sample another 250 students from this population, what is the standard deviation of the proportion of Asian students? For a sample of 250 students out of this population, what is the probabilty that the proportion of Asian students is between 6% and 8%?

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