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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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?
A survey of 150 freshmen business students at a local university produced the results listed below. How many students took only religion? 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and religion;15 took history and religion;6 took all three
Selecting the Appropriate Inferential Test: For each of the studies below, please identify the following (or indicate N/A "not applicable" if the feature is not relevant to the design): a) Independent Variable(s) (IVs) and # of levels for any IVs (for Correlation/Regression, identify the predictor and predicted variable rather than IV and DV) b) Dependent Variable (DV) c) Scale of Measurement for the Dependent Variable: (Nominal, Ordinal, Interval, Ratio) for Correlation/Regression please make sure you identify the scale of measurement for both variables d) Appropriate Statistical Test (If it is a Factorial ANOVA, make sure to name the design: e.g., 2 X 2, 2 X 3, etc.)
A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?
Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of 52cards (which is made up of 13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of 14 cards and gotten her suit guesses for each.Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of…
Consider a political discussion group consisting of 4 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.
A. The Computer Geek Org has 23 members: 3 freshmen, 5 sophomore, 7 junior, and 8 senior students. If you are going to pick a certain number of name/s at random, at least how many should you pick to make sure that you have 2 students with the same year level? Use the pigeonhole principle and state your conclusion.
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).
Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of 52 cards (which is made up of 13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of 14 cards and gotten her suit guesses for each. Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant…
You are given these information regarding two groups of health insurance customers: Group A: 5% probability of claiming medical insurance to a total of $100,000 Group B: 40% probability of claiming medical insurance to a total of $100,000 Assume that there are 1000 individuals in each group Based on the information given above, discuss the problem of adverse selection that occur between the consumers and the health insurance companies.
A company buys microchips from three suppliers—I, II, and III. Supplier I has a record of providing microchips that contain 10% defectives; Supplier II has a deflective rate of 5%; and Supplier III has a defective rate of 2%. Suppose 20%, 35%, and 45% of the current supply came from Suppliers I, II, and III, respectively. If a microchip is selected at random from this supply, what is the probability that it is defective?
1. A realtor sells houses in three different neighborhoods in the city—A, B and C. He sells ranch style homes and two-story homes. Last year, 60% of his sales were in neighborhood A, while neighborhood B made up 25% and neighborhood C was 15% of the sales. Only 10% of the houses in neighborhood A were ranches, compared with 40% for neighborhood B and 50% for neighborhood C. Suppose we randomly select one of the homes he sold in one of these three neighborhoods. (1) What’s the probability that the home is a ranch? (Enter a decimal as your answer, round to the nearest thousandth when necessary) (2) If the home is a ranch, what’s the probability that it is in neighborhood C? (Enter a decimal as your answer, round to the nearest thousandth when necessary)

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