3. A survey of consumers in Mudville showed 10% were dissatisfied with their plumbing jobs.Half of these complaints dealt with Mr. Badwrench, who does 40% of the plumbing jobs inMudville. What is the probability that a randomly selected consumer has an unsatisfactoryplumbing job, given that the plumber was Mr. Badwrench. Are bad plumbing jobs and Mr.Badwrench independent?

To solve this problem, we can use the concept of conditional probability. We're given that:10 % of…

Answered: 3. A survey of consumers in Mudville…

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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It was decided to assess the awareness of common people about the political scenario in the country. A group of 1000 including 50% educated and 50% uneducated from different cities were randomly selected to participate in the survey. 53 % of them were males including 235 uneducated males. Construct a 2 way cross tabulation and answer the following questions a. What is the probability that a randomly selected person is an illiterate female b. If a randomly selected person is a male, what is the probability that he is educated c. What is the probability that a randomly selected uneducated person is a female
A study showed that 69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a fatal car crash who wore seat belts, 3% were ejected from the vehicle. For those not wearing seat belts, 38% were ejected from the vehicle. Find the probability that a randomly selected person in a fatal car crash who was ejected from the vehicle was wearing a seatbelt.
Suppose that 9% of college undergraduates suffer from a psychological disorder. What is the probability that three students chosen at random DO NOT possess a psychological disorder?
The probability that [a woman in this cohort] has breast cancer is 0.8 percent. If a woman has breast cancer, the probability is 90 percent that she will have a positive mammogram. If a woman does not have breast cancer, the probability is 7 percent that she will still have a positive mammogram. Imagine a woman who has a positive mammogram, what is the probability that she actually has breast cancer? ... [When 24 doctors were asked this question], their estimates whipsawed from 1 percent to 90 percent. Eight of them thought the chances were 10 percent or less, 8 more said 90 percent, and the remaining 8 guessed somewhere between 50 and 80 percent. Imagine how upsetting it would be as a patient to hear such divergent opinions. Imagine 10,000 women were screened. Construct a contingency table if a total of 10,000 women were screened. What is the correct answer? (Imagine a woman who has a positive mammogram, what is the probability that she actually has breast cancer?)
In a study of 44 patients at a rural hospital, there were 9 females in the ICU, 6 females in the Surgical Unit, 11 males in the ICU, and 18 males in the Surgical Unit. If one of these patients is randomly selected, find the probability of getting a someone who was male OR a patient in the Surgical Unit.
One hundred students were asked whether they liked certain candy flavors. It was found that 54 54 liked chocolate, 44 44 liked mango, and 22 22 liked both flavors. What's the probability that a randomly selected student liked neither flavor? Liked either chocolate or mango but not both?
Consider the midterm and final for a statistics class. Suppose 13% of students earned an A on the midterm. Of those students who earned an A on the midterm, 47% received an A on the final, and 11% of the students who earned lower than an A on the midterm received an A on the final. You randomly pick up a final exam and notice the student received an A. What is the probability that this student earned an A on the midterm?The end-goal is to find P(midterm = A|final = A). A. Draw a tree diagram (marginal probabilities in the primary branch and conditional probabilities in the secondary branches). B. What is the probability that this student earned an A on the midterm?
You are a restaurant owner and want to decide whether to offer pick-up services through food delivery apps like Grubhub, Doordash, Uber Eats, etc. To do so, you want to estimate how many of your potential costumers (Santa Cruz residents) use these services. a. Let FD be a random indicator variable equal to 1 if the person uses food delivery services and 0 otherwise. Select which of the following two statements is correct by writing i or ii in the blank: i. The parameter of interest is the population mean of FD, µFD ii. The parameter of interest is the sample mean of FD, FD b. You select a random sample of 50 Santa Cruz residents and ask them if they use food delivery apps. Thirty people say they do use food delivery apps. What is the sample mean, FD, for this sample? FD = You are interested in understanding the effect of rainy whether on the share of individuals that use food delivery apps in Santa Cruz. To do so, you collect data on the number of people that use food delivery apps…
6. Two percent of woman of age 45 who participate in routine screening have breast cancer. Ninety percent of those with breast cancer have positive mammographies. Ten percent of the women who do not have breast cancer will also have positive mammographies. Given a woman has positive mammography, what is the probability she has breast cancer?
Last week, a flower delivery business conducted a survey on customer happiness. They found that 51% of their customers were "pleased" with the service. If the company surveys 63 of their customers the next week, what is the probability that exactly 39 are pleased?
The probability that an UofM student is from the Greater Toronto Area is only .25. What is the likelihood that you would have to interview two people in the university circle to find the first one who was from Toronto?
Suppose that 71% of diners ask for a manager when they have a complaint, while 29% of diners ask for a manager when they have a question about the menu. It is known that 44% of those that had a complaint felt the manager satisfied their problem, whereas 72% of those that had a menu question felt satisfied. A randomly diner felt satisfied following a managerial interaction. What is the probability that they were a diner with a complaint?

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