A company uses three different assembly lines—A1, A2,and A3—to manufacture a particular component. Of thosemanufactured by line A1, 5% need rework to remedy adefect, whereas 8% of A2’s components need rework and10% of A3’s need rework. Suppose that 50% of all componentsare produced by line A1, 30% are produced byline A2, and 20% come from line A3. If a randomlyselected component needs rework, what is the probabilitythat it came from line A1? From line A2? From line A3?

A company uses three different assembly lines—A1, A2,and A3—to manufacture a particular component. Of thosemanufactured by line A1, 5% need rework to remedy adefect, whereas 8% of A2’s components need rework and10% of A3’s need rework. Suppose that 50% of all componentsare produced by line A1, 30% are produced byline A2, and 20% come from line A3. If a randomlyselected component needs rework, what is the probabilitythat it came from line A1? From line A2? From line A3?

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

Related questions

Q: other activity not related to production. In a project designed to examine this problem, a…

A: Option B is correct.

Q: n the SohnCo Baby Products Division plant located in New Brunswick, NJ, one Baby Mobile is assembled…

A: 1. Working days per month = 20 days Demand/consumption rate, d = 14,000 bottles a month = 14000/20 =…

Q: A producer has three products, A, B, and C, which are composed from many of the same raw materials…

A: Given information:Three products: A, B, and C.Composition of each product in terms of raw materials,…

Q: Dr. Barton hypothesizes that if 1st grade students are assigned to practice sight word flashcards…

A: The control group is: Group B because this group was not given any intervention (10 minutes of daily…

Q: This exercise requires the use of technology. Four sectors of the U.S. economy are (1) livestock…

Q: Avobenzone is one of the active ingredients in several commercially available sunscreens. It can be…

A: Given information: Spray 1 0.693 0.405 0.405 0.405 -0.511 -0.916 Spray 2 0.588 0 0 -0.511…

Q: What is the probability that a randomly selected automobile manufactured by the company has a…

A: Define some events A: Microprocessor is supplied from firm A. B: Microprocessor is supplied from…

Q: A company has three factories making cars. The factories use different processes and produce cars at…

A: Let,Factory X runs for x days, Factory Y runs for y days, and Factory Z runs for z days.Then,

Q: 3. The city of Mawroke maintains a constant voter of 300,000 people per year. Apolitical science…

Q: This exercise requires the use of technology. Four sectors of the U.S. economy are (1) livestock…

A: Given the input-output table involving four sectors of U.S economy in the year of 1977. To determine…

Q: 2.A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g)…

A: Let no. of packets of food P be x and no. of packets of food Q be y. The table below shows the given…

Q: The Phony TV company makes two different types of television sets, OLED and LED, which are assembled…

A: Consider the given: OLED model assembled per hour , when operated by line 1 =30 units. LED model…

Q: A company produces three types of pencil holders: basic, deluxe, and supreme. All types require…

A: Let's examine the issue in greater detail. Pencil holder varieties made by the company are basic,…

Q: 4. A fast-food chain has many hundreds of franchises nationwide. Ideally, each franchise would…

Q: A researcher wants to investigate claims that a new plant compound is effective in curbing appetite.…

A: Given: x¯1=843s1=111x¯2=946s2=73n1=n2=11α=0.01 The required assumptions for the independent-measures…

Q: A manufacturer of wind turbines produces a large number of only two types of turbines, C and M,…

A: Solution: Let F denotes the event that a wind turbine fails within five-years It is given that the…

Q: A rental car company offers three types of vehicles (compact, mid-size, and full-size).Based on…

A: Given:Percentage of customers choose a compact vehicle = 35%Percentage of customers choose a…

Q: 7. A company uses three different assembly lines - A₁, A2, and A3 - to man- ufacture a particular…

A: The probability that it can from line A1 if a randomly selected component needs rework is obtained…

Q: An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its…

A: Let D=defective piece Given that:

Q: In the Erlang loss model, system A has 5 servers and an implied utilization of 125 percent,while…

A: Consider the notations, p = processing time per unit, a = interarrival time, m = number of servers,…

Q: 2. An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the…

A: The latin square design to show the effect of assembly methods:1234Row…

Q: What is the probability that a randomly selected automobile manufactured by the company will have a…

Q: Consider a labor market for men and women with two types of workers in each group, high ability (H…

A: Given information: H types among men and women have a productivity of 70 and L types among men and…

Q: You are a marketing manager for a food products company, considering the introduction of a new brand…

A: Given : Low Demand High Demand Gradual 1 4 Concentrated -5 10 a) Using…

Q: In a large metropolitan area, 20% of the commuters currently use the public transportation system,…

Q: 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the…

Question

A company uses three different assembly lines—A1, A2,
and A3—to manufacture a particular component. Of those
manufactured by line A1, 5% need rework to remedy a
defect, whereas 8% of A2’s components need rework and
10% of A3’s need rework. Suppose that 50% of all components
are produced by line A1, 30% are produced by
line A2, and 20% come from line A3. If a randomly
selected component needs rework, what is the probability
that it came from line A1? From line A2? From line A3?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Suppose a company charges an annual premium of $110 for an insurance policy for minor injuries. Actuarial studies show that in case of an injury claim, the company will pay out an average of $900 for outpatient care and an average of $3000 for an overnight stay in the hospital. They also determine that, on average, each year there are five claims made that result in outpatient care for every 1000 policies and three claims made that result in an overnight stay out of every 1000 policies. What is the expected annual profit of an insurance policy for the company?
This exercise requires the use of technology.Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars).Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $2,500 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $2,500 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.) To 1 2 3 4 From 1 11,937 9 109 855 2 26,649 4,285 0 4,744 3 0 0 439 61 4 5,423 10,952 3,002 216 Total Output 97,795 120,594 14,642 47,473 Answer will be 4x4 matrix.
Suppose two companies, Company 1 and Company 2, are manufacturing a vaccineto treat COVID-19. Each company ships out 100 vaccines per shipment. A hospital is receiving40% of their vaccine shipments from Company 1 and the remainder of its vaccine shipmentsfrom Company 2. It is reported that from Company 1’s shipments, 7% of the vaccines getsdamaged in shipping meanwhile from Company 2’s shipments, 3% of the vaccines gets damagedin shipping. Suppose the hospital recently received a shipment of 100 vaccines but we are notsure if this shipment came from Company 1 or Company 2. Assuming that the vaccines areindependent of each other, what is the probability that exactly six vaccines in the shipment of100 are damaged?
This exercise requires the use of technology.Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars).Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $1,000 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $1,000 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.) To 1 2 3 4 From 1 11,937 9 109 855 2 26,649 4,285 0 4,744 3 0 0 439 61 4 5,423 10,952 3,002 216 Total Output 97,795 120,594 14,642 47,473
An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 3% of the microprocessors produced by firm A are defective, 4% of those produced by firm B are defective, and 1.5% of those produced by firm C are defective. Firms A, B, and C supply 35%, 20%, and 45%, respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?
Avobenzone is one of the active ingredients in several commercially available sunscreens. It can be absorbed into the bloodstream when sunscreen is applied to the skin. The Food and Drug Administration has expressed concern about the safety of absorbing too much avobenzone. Researchers recruited 24 healthy volunteers to investigate avobenzone absorption for four different commercially available sunscreens: two sprays, a lotion, and a cream. Do the types of sunscreens (spray, lotion, and cream) differ in terms of how much avobenzone is absorbed into the blood? Subjects were randomly assigned to one of the four sunscreens, with six subjects for each. Subjects had 2 milligrams of sunscreen per 1 cm? applied to 75% of their body surface area (area outside of normal swimwear) four times per day for four days. The amount of avobenzone absorbed into the bloodstream (in nanograms per milliliter ap-plied, ng/mL) after 150 hours was then measured for each subject. For the purpose of analyzing…
Two bicycle manufacturers, Alpha Cycles (A) and Best Bikes (B), buy parts from the suppliers Firm Frames (F), Great Gears (G) and Happy Handlebars (H). During the year 2019: 50% of the frames from Firm Frames (F) were sold to Alpha Cycles (A) and 50% were sold to Best Bikes (B). 75% of the gear sets from Great Gears (G) were sold to Alpha Cycles (A) and 25% were sold to Best Bikes (B). 40% of the handlebars from Happy Handlebars (H) were sold to Alpha Cycles (A) and 60% were sold to Best Bikes (B). Draw a network diagram with input nodes F, G and H, and output nodes A and B, that represents the proportion of parts sold from each supplier to each bicycle manufacturer Write down the matrix that represents this network. Use the matrix that you found to determine how many parts were sold to Alpha Cycles (A) during 2019, if the total number of parts sold to the two bicycle manufacturers by Firm Frames (F), Great Gears (G) and Happy Handlebars (H) was 240, 320 and 300 parts respectively.
Suppose the entire cola industry produces only two colas. Given that a person last purchased cola 1, there a 70% chance that her next purchase will be cola 1. Given that a person last purchased cola 2, there is an 75% chance that her next purchase will be cola 2. Suppose that each customer makes one purchase of cola during any week (52 weeks=1 year). Suppose there are 150 million customers. One selling unit of cola costs the company $0.5 to produce and is sold for $2. For $200 million per year, Britney Spears (by an advertising song) guarantees to decrease from 30% to 15% the fraction of cola 1 customers who switch to cola 2 after a purchase. Should the company that makes cola 1 hire Britney Spears?
1
A type of small snail is very widespread in Japan, and colonies of the snails that are genetically similar have been found very far apart. Scientists wondered how the snails could travel such long distances. A recent study provides. the answer. Biologist Shinichiro Wada fed 174 live snails to birds and found that 26 of the snails were excreted live out the other end. The snails appar- ently are able to seal their shells shut to keep the digestive fluids from getting in. Estimate the standard error (use the standard deviation in the picture for the standard error) question 2: Use the standard error from part (b) to find a 95% confidence interval for the proportion of all snails of this type to live after being eaten by a bird. Write both ends of your interval as percents,
People with O-negative blood are called “universal donors” because O-negative blood can be given to patients with any blood type. However, only about 6% of people have O-negative blood, which presents a challenge in balancing supply and demand made more complicated not only by the logistics of finding donors that meet health criteria, but also by the fact that the blood type of donor and patient must be matched. This is especially true, since, unlike a manufacturer who can balance supply by planning to produce or to purchase more or less of a key item, blood supply from volunteer donors show up more-or-less at random (at least in terms of blood type). Thus, modeling the arrival of samples with various blood types helps humanitarian organizations, such as the Philippine Red Cross, to plan their blood allocations. Of the next 20 donors to arrive at Philippine Red Cross, how many universal donors can be expected? (Answer in 1 decimal place) What is the standard deviation of the number of…
Digi-Key is a large distributor (but not manufacturer) of electronic components. They receive shipments of components from manufacturers and sell them on to other manufacturers, consumers, and hobbyists. An electrical fuse is generally a small device meant to protect other electrical components from damaging surges of electrical current. Suppose Digi-Key receives shipments of a particular fuse in boxes of 20,000 fuses. The manufacturer of this fuse claims that just 1 out of every 100 fuses is defective. Digi-Key draws 50 fuses randomly from each box and tests them using an error-free method. If it finds 2 or more defective fuses in its sample of 50 fuses, it sends that box back to the manufacturer and gets a replacement box. (Because there are 20,000 fuses in a box--much bigger than 50--you may treat this as if it is sampling with replacement even though it is not really.) Compute the probability that Digi-Key sends a box back to the manufacturer if the manufacturer's claim (that…