In a manufacturing plant, three machines, A, B, and C, produce 41%, 38%, and 21%, respectively, of the total production. The company's quality-control department has determined that 1% of the items produced by Machine A, 2% of the items produced by Machine B, and 2.5%of the items produced by Machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by Machine B? (Round your answer to three decimal places.)

In a manufacturing plant, three machines, A, B, and C, produce 41%, 38%, and 21%, respectively, of the total production. The company's quality-control department has determined that 1% of the items produced by Machine A, 2% of the items produced by Machine B, and 2.5%of the items produced by Machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by Machine B? (Round your answer to three decimal places.)

Name: In a manufacturing plant, three machines, A, B, and C, produce 41%, 38
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: In a manufacturing plant, three machines, A, B, and C, produce 41%, 38%, and 21%, respectively, of the total production. The company's quality-control department has determined that 1% of the items produced by Machine A, 2% of the items produced by M

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...

See similar textbooks

Similar questions

In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and III supply respectively 30%, 40%, and 30% of the students. The failure rate of students is 4%, 3%, and 6%, respectively. Given that a student passes, what is the probability that he or she came from school I?
In a certain battery manufacturing plant, three factories, F1, F2, and F3, make 35%, 47%, and 18% respectively, of the products. It is known from experience that 2%, 1.5%, and 2.5% of the products made by each factory, respectively, has some kind of defect. What is the probability that a battery chosen at random is non-defective? 98.514% 98.415% 98.154% 98.145%
According to a study by the Centers for Disease Control and Prevention, about 33% of U.S. births are Caesarean deliveries. Suppose seven expectant mothers are randomly selected. What is the probability that two of the expectant mothers will have a Caesarean delivery? Select one: a. 0.0417 b. 0.2090 c. 0.0606 d. 0.3088
In a large university, 60% of students play sports, 30% are involved in the arts, and 10% participate in neither activity. Among the sport-playing students, 70% play team sports, and 30% play individual sports. Additionally, 40% of the art-involved students are focused on visual arts, and 60% on performing arts. If a random sample of 200 students is taken from the university, what is the probability that exactly 84 students play team sports, 36 play individual sports, 48 are involved in performing arts, 24 in visual arts, and 8 students participate in neither sports nor arts?
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)(a) in 1 month:nonsmokers:1 pack/day or less:more than 1 pack/day:(b) in 2 months:nonsmokers:1 pack/day or less:more than 1 pack/day:(c) in 1 year:nonsmokers:1 pack/day or less:more than 1 pack/day:
A study showed that in 1990, 47% of all those involved in a fatal car crash wore seat belts. Of those in a fatal crash who wore seat belts, 46% were injured and 26% were killed. For those not wearing seat belts, the comparable figures were 43% and 51%, respectively. Find the probability that a randomly selected person who was unharmed in a fatal crash was not wearing a seat belt.
There are four major types of blood: A, B, AB, and O. Suppose 42% of a certain population has Type A, 9% Type B, 6% Type AB, and 43 % Type O blood. The blood type of a randomly selected person from this population is determined as part of an experiment. Complete parts a through b. a. List the probabilities for each outcome in the sample space. Are they equally likely? Select the correct choice below and fill in the answer box(es) to complete your choice. (Type integers or decimals. Do not round.) A. Each outcome is equally likely; P(A)=P(B)=P(O)=enter your response here B. Each outcome is equally likely; P(AB)=P(AO)=P(BO)= P(ABO)=enter your response here C. Each outcome is not equally likely; P(AB)=enter your response here, P(AO)=enter your response here, P(BO)=enter your response here, and P(ABO)=enter your response here D. Each outcome is not equally likely; P(AB)=enter your response here, P(O)=enter your response here, and…
A biomedical research company produces 45%45% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 0.85%0.85% of the insulin produced at the plant in Kansas City is defective, while 0.75%0.75% of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?
Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the production line. What is the probability that exactly one of these three blue ray players is defective?
In a manufacturing plant, three machines, A, B, and C, produce 38%, 33%, and 29%, respectively, of the total production. The company's quality-control department has determined that 2% of the items produced by machine A, 1.5% of the items produced by machine B, and 2% of the items produced by machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by machine B? (Round your answer to three decimal places.)
In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that no more than 6 belong to an ethnic minority? O a. 0.9846 O b. 0.9814 C. 0.9130 O d. 0.0547
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.