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 a certain assembly plant, three machines A1, A2, and A3 make 30%, 45% and 25% respectively, of the product. Its known from past experience that 3%, 2%, and 4% of the product made by each machine, respectively are defective. If the selected product is defective, what is the probability that it was made by machine A1? Select one: O a. 0.3214 O b.0.14 O c. 0.3142 O d. 0.028
A bakery sells three types of bread: sourdough, wheat, and rye. The sales data from the past month shows that 40% of the bread sold was sourdough, 30% was wheat, and 30% was rye. On a particular day, the bakery sold 100 loaves of bread. What is the probability that the bakery sold more than 50 loaves of sourdough bread?
There are three modes of transporting material from Boston to Houston: by land (either by highway or railway), seaor air. Half of the materials are transported by land20% by sea, and the rest by air. Also, 60% of all land transportation is by highway and the rest is by rail shipments.Cargo traveling by each mode of transportation has a different probability of being damaged during shipment. The percentages of damaged cargo are as follows: 12% by highway, 3% by rail, 5% by seaand 2% by airIf a damaged cargo is received, what is the probability that it was shipped by sea?
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%
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?
A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?
Your assembly plant buys identical widgets from 3 suppliers, A, B, and C. Suppliers A and B each supplies a quarter of your widgets each day, whereas Supplier C supplies the remaining 50%. Of the widgets supplied by A, B, and C, the average numbers of defective widgets are 5%, 3%, and 7%, respectively.(a) If a widget is selected at random, what is the probability of it being defective? Let A, B, C be the event of a randomly picked widget being sourced by suppliers A, B, and C, respectively. Furthermore, let D be the event of a randomly-picked widget being defective. Use these symbols A, B, C, and D when you do this problem.(b) What is the probability of a randomly-picked widget being supplied by A and also being defective?(c) If a randomly-picked widget is defective, what’s the probability of it having been supplied by A?(d) If a randomly-picked widget is defective, what’s the probability of it having been supplied by B? By C? What's the sum of the 3 probabilities…
A kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time respectively. The remote controls of the cars can sometimes malfunction, namely 5%, 7% and 9% of the time. If during a race the remote malfunctioned, what is the probability that he was playing with his first car? O A. 0.0125 OB. 0.1712 OC. 0.4932 OD. 0.3356
A Fast Food restaurant gives a discount to anyone who finishes their food in under 5 minutes. 44% of the restaurant' s customers choose to eat a Burger, 28% choose a bowl of Pasta, and the rest choose a Salad dish. In the last month, 18% of Burger-eating customers, 11% of Pasta-eating customers, and 20% of Salad-eating customers achieved the discount. a. What is the probability of a customer choosing to eat Salad and achieving the discount? Answer in exact fraction, or rounded to at least 4 decimal places b. Determine the probability of a randomly chosen customer achieving the discount. Answer in exact fraction, or rounded to at least 4 decimal places
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.
A kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time respectively. The remote controls of the cars can sometimes malfunction, namely 5%, 7% and 9% of the time. If during a race the remote malfunctioned, what is the probability that he was playing with his third car? OA. 0.3356 OB. 0.1712 OC.0.4932 O D. 0.0360