Question 2A manufacturing company hired a consulting firm to identify quality control issues. The consulting firmfound that 30% of work-related problems occurred on Tuesdays and that 20% occurred in the hour aftera day's lunch. It was also found that 4% of worker-related problems occurred in the hour after Tuesday'slunch.a) Find the probability that a worker-related problem that occurs on Tuesday does not occur in thehour after the day's lunch.b) Given the events "problem occurs on Tuesday" and "problem occurs in the hour after the day'slunch", are they statistically independent? Justify your answer.

Given: P(A) = 0.30 P(B) = 0.20 P(A and B) = 0.04 A is the event problem occurs on Tuesday B is the…

Answered: Question 2 A manufacturing company…

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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1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?
Suppose that it is known that 45% of eighteen-year-olds in a particular city do not have a driver's licence. If a random sample of 20 eighteen-year-olds is taken in the city, what is the probability that more than half of them will not have a driver's licence?
4. If a randomly chosen athlete tests negative, what’s the probability that the student took a banned substance? Explain why it makes sense for the drug-testing process to be designed so that this probability is less than the one you found in Question 3.5. The district decides to immediately retest any athlete who tests positive. Assume that the results of an athlete’s two tests are independent. Find the probability that a student who gets a positive result on both tests actually took a banned substance. Based on your answer, do you think that an athlete who tests positive twice should be suspended from athletic competition for a year? Why or why not?
In Bayesian statistics, a 90% credible interval (or Bayes interval) covers the true parameter with (subjective) probability 90%. True False
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 in Mudville. What is the probability that a randomly selected consumer has an unsatisfactory plumbing job, given that the plumber was Mr. Badwrench. Are bad plumbing jobs and Mr. Badwrench independent?
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
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no
9) According to the American Academy of Ophthalmology, there is a 18% chance that someone will have hazel eyes. What is the probability that it will take at least seven people to find someone with hazel eyes?
2. An actuary studied the likelihood that different types of drivers would be involved in at least one collision during any one-year period. The results of the study are presented below. Probability of at least one Туре of driver Percentage of all drivers collision ww ww Teen 16% 0.15 Young adult Midlife 8% 0.08 45% 0.04 Senior 31% 0.05 Given that a driver has been involved in at least one collision in the past year, what is the probability that the driver is a young Senior driver?

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