R4.1. Quality control A consumer organization estimates that29% of new cars have a cosmetic defect, such as a scratchor a dent, when they are delivered to car dealers. This sameorganization believes that 7% have a functional defect-something that does not work properly-and that 2% of newcars have both kinds of problems.a) If you buy a new car, what's the probability that it hassome kind of defect?b) What's the probability it has a cosmetic defect but nofunctional defect?c) If you notice a dent on a new car, what's the probability ithas a functional defect?d) Are the two kinds of defects disjoint events? Explain.e) Do you think the two kinds of defects are independentevents? Explain.

Note:- “Since you have posted a question with multiple sub-parts, I will solve first three sub-…

Answered: R4.1. uality control A consumer…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Every year, the veterinary hospital at a major research university treats a number of horses that have stones called enteroliths in their guts. A sample of 20 years shows that on average about 2% of horses presenting at the veterinary hospital are treated for enteroliths. Some breeds of horses seem more prone to developing enteroliths than others. Below is a table with the distribution of enteroliths among the breeds. Breed Fijian Thoroughbred Morgan Quarter horse Probability 0.4 0.2 0.3 The probability that a horse arriving at the veterinary hospital is not a Fijian,Thorougbred, or a Quarter horse is:
A global research study found that the majority of today's working women would prefer a better work-life balance to an increased salary. One of the most important contributors to work-life balance identified by the survey was "flexibility," with 41% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. b. What is the probability that in the sample between 37% and 47%say that having a flexible work schedule is either very important or extremely important to their career success? ______(Round to four decimal places as needed.)
Can you please help me solve the question attached as an image?
An early study found (refer to image)
An automaker is concerned about the possible recall of its best-selling four-door sedan. If there is a recall, there is an 8.21% defect in the brake system, 11.31 in the transmission, 7.65 in the fuel system, and 33.72 in some other area. What is the probability that the defect is in the brakes or in the fuel system if the percentage of simultaneous defects in both systems is 5.56? Tip: The problem can be solved using additive probability, just check if it is mutually exclusive or not.
Obtaining a driver's license at the earliest eligible age has been a teenage ritual that appears to be fading. A study performed by a university's transportation research institute recently found that 29% of U.S. teenagers between the ages of 17 and 19 did not possess a driver's license. A random sample of 125 17-to-19-year-old teenagers was selected. Complete parts a through d. a. What is the probability that 45 or fewer teenagers of this sample had not obtained a driver's license? The probability is. (Round to four decimal places as needed.) b. What is the probability that 50 or more teenagers of this sample had not obtained a driver's license? The probability is. (Round to four decimal places as needed.) c. What is the probability that between 35 and 40 teenagers had not obtained a driver's license? The probability is. (Round to four decimal places as needed.) d. Suppose that 27 teenagers from this sample had not obtained a driver's license. Does this result support the findings…
3. A recent article in the Journal of Urban Chicken Farmers reported the fraction of chickens that experience severe, moderate, or minor side effects from a new diet are 0.07, 0.15, and 0.78, respectively. Assuming that chickens respond independently, if 18 chickens were tested on the new diet, what is the Probability that 2, 4, and 12 chickens will suffer severe, moderate, or minor side effects, respectively? Probability that no chickens will suffer severe side effects? Mean number of chickens that will suffer severe side effects? Variance in the number of chickens that will suffer severe side effects? Conditional mean of the number of chickens that suffer severe side effects given that 17 suffer minor side effects. a. b. C. d. e.
A global research study found that the majority of today's working women would prefer a better work-life balance to an increased salary. One of the most important contributors to work-life balance identified by the survey was "flexibility," with 42% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. a. What is the probability that in the sample fewer than 47% say that having a flexible work schedule is either very important or extremely important to their career success? b. What is the probability that in the sample between 38% and 47% say that having a flexible work schedule is either very important or extremely important to their career success? c. What is the probability that in the sample more than 39% say that having a flexible work schedule is either very important or extremely important to their career success?
The report “Addiction Medicine: Closing the Gap between Science and Practice” from the National Center on Addiction and Substance Abuse at Columbia University reveals that addiction treatment is neglected by the medical system in the United States. It shows, in particular, that 15% of Americans have the disease of addiction and that 80% of them receive no form of treatment. Determine the probability that a randomly selected American has the disease of addiction and receives no form of treatment. Interpret your answer in terms of percentage.
An airline is considering adding a route to the city of Buffalo, NY. Market research predicts that if the airline serves Buffalo, there is a 32% probability of making a $500,000 profit, a 22% chance of breaking even, and a 46% probability of losing $300,000. What is the expected value of adding a route to Buffalo?
1. The American Journal of Public Health (July 1995) published a study of the relationshipbetween passive smoking and nasal allergies in Japanese female students. The study revealedthat 80% of students from heavy-smoking families showed sign of nasal allergies on physicalexaminations. Consider a sample of 25 Japanese female students exposed daily to heavysmoking. d. What is the probability that more than 15 of the students will NOT have nasal allergies?e. What is the probability that more than 15 but fewer than 20 will have nasal allergies?
6. Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following represents the probability that a day in early March would have either rain or snow? (1) 0.30 (3) 0.02 (2) 0.34 (4) 0.26

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