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?

Suppose you are a production manager for a small firm that manufactures designer phone cases. Your production facility utilizes three machines. Quality is binary — each phone case is either defective or it is not defective. Each hour, Machines 1, 2, and 3 produce 10, 10 and 20 phone cases, respectively. But because the machines differ slightly in their technology, data on past production has shown that they differ in terms of their rates of defective output — specifically, Machines 1, 2, and 3 have rates of defective production of 2%, 4%, and 5%, respectively. If one phone case is selected randomly from one hour’s total output, and that phone case is found to be defective, what is the probability that it was produced by Machine 1? Machine 2? Machine 3?

Need solution ASAP!!

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.

The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu.  Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu).  Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%.  Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?

1

A national restaurant chain is composed of 6500​ restaurants, each of which is located in close proximity to an interstate highway. The​ restaurant's business strategy is to serve its core customer​ base: people travelling on the interstate highway system who are looking for a quality dining experience. Customers generally enjoy the restaurant​ chain's menu,​ atmosphere, and consistency from restaurant to restaurant. The​ company's leadership, located at corporate​ headquarters, is very interested in the relationship between the cost of a gallon of gasoline and the​ company's revenue.​ Specifically, the company is concerned that if gasoline prices rise in the near​ future, the​ company's revenue will decline dramatically. The​ company's research department recently collected data for analysis in order to support​ leadership's upcoming discussion of whether the company should expand and diversify to locations away from an interstate highway. Annual revenue figures from a random sample…

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…

3.3 4.manufactures 37-in. high def LCD tvs in 2 separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of tvs to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the 2 TMA plants to the 2 Pulsar factories are as follows.       To Pulsar Factories     From TMA City A City B   Location I $7 $3   Location II $8 $9 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x,y)= What is the minimum cost? 6.Solve the linear programming problem by…