Example 2.23 An electronic fuse is produced by five produc-tion lines in a manufacturing operation. The fuses are costly, arequite reliable, and are shipped to suppliers in 100-unit lots. Be-cause testing is destructive, most buyers of fuses test only a smallnumber of fuses before deciding to accept or reject lots of incom-ing fuses. All five production lines produce fuses at the samerate and normally produce only 2% defective fuses, which aredispersed randomly in the output. Unfortunately, productionline 1 suffered mechanical difficulty and produced 5% defectivesduring the month of March. This situation became known tothe manufacturer after the fuses had been shipped. A customerreceived a lot produced in March and tested three fuses.1. What is the chance that there is one failure among threetested fuses.2. If there is one failure among the tested fuses, What is theprobability that the lot was produced on line 1? What is theprobability that the lot came from one of the four other lines?

Answered: Image /qna-images/answer/767900e7-b96d-466f-8122-ba7c9eb3bf64.jpg

Answered: anufacturing operation. The fuses are…

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...

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10.23. Question. An umbrella-shaped island has a population of 499 healthy people. Alice, who is injected with the T-virus, enters the island on day 0. It is known that anyone infected with the T-virus will become a zombie after 24 hours. Assume that the infected (zombies are considered infected) will spread the virus (through biting) and no one on this island can escape from it. The rate of virus transmission is proportional to the product of the number of infected and non-infected. Thus, if x(t) denotes the number of the infected on day t, then dx dt = kx(500 — x). On day 10, it is observed that 20 people are already infected. Answer the following questions. (a) How many zombies are on the island on day 16? (b) On day 20, how many people are infected but not yet turned into a zombie? (c) A rescue boat with 50 available seats is to be sent to the island. What is the earliest day the boat should be sent to ensure it can rescue all survivors (those not infected)?
State the type of variable in each of the following cases 1- 5.1. The weight (Kg) of an Amazon package.2. The stress level (Low, Average, High) of a student taking this exam.3. The number of Long Covid-19 patients in England in 2021.4. Type of vaccine (Pfizer, AstraZeneca, Moderna).5. The annual profits (£m) of the JSA company in 2021.Your answer should be A, or B or C or D, where A, B, C, and D are defined asfollows:A. Numerical and DiscreteB. Numerical and ContinuousC. Categorical and NominalD. Categorical and Ordinal
B) Given that AXYZ is congruent to ASTU, complete the following statements. U 8 cm 55 35 10 cm 12 cm 12 cm 55° 8 cm 35° T. 10 cm 1 mZX= 2.) mZY =_ 3.) mZZ =
2.x+y%=D18 X-ay LU
3) Two suppliers are bidding for a customer's business. Both are similar in cost, percentage of on-time deliveries, etc. The final decision will be based on which supplier provides the "best" quality. The process outputs for suppliers A and B are displayed below. Supplier A's process has half the variation as B's, but is centered halfway between the middle of the tolerance and the USL, with 0.1% above the USL. Supplier B, on the other hand, is centered exactly at the middle of the tolerance, with 0.1% of its output outside each of the two specifications. Other estimates: SD (A): 0.809 SD (B): 1.618 Supplier A 52.5 Supplier B Supplier A has 0.5% 0.5% defects 0.25% 0.25% Supplier B has 0.25 % defective both sides LSL-45 50 USL-56 Questions 3||3a) What is the Cp of Supplier A? 4||3b)What is the Cp of Supplier B? 5||3c) What is the Cpk of supplier A? 6||3d) What is the Cpk of Supplier b? 7||3e) Who should get the bid award? 8||3f) Per 1000 products, how many good products has Supplier A…
What does February 2020’s actual warehouse club sales value tell us about the strength of this model to extend past the ten years covered in the scatterplot?
9. Imagine a medieval world. In this world a Queen wants to poison a King, who has a wine keg with 500 L of his favorite wine. The Queen gives a conspirator a liquid containing 5 g/L of poison, which must be poured slowly into the keg at a rate of 0.5 L/min. The poisoner must also remove the well-stirred mixture at the same rate, so that the keg is not suspiciously full. (a) Find a formula for the amount of poison in the keg at any time, measured from the start of the pouring by the poisoner. (b) A plot is hatched for the King to drink wine from the keg while he is on a hunt, where he will become so addled that his prey will surely kill him. The poisoner must pour for a time T, when the poison in the keg reaches a dangerous concentration of 0.005 g/L. Find T. (c) The Lord High Inquisitor of the Realm never learned about differential equations. Nonetheless, knowing the basic numbers (keg size, poison concentrations, etc.), he can produce an estimate for the time T that the poisoner was…
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…
If x, = 1, x1 = 2 ,x2 = 3 ,X3 = 4 ,x4 = 5, then L2(3)+ L2(4) = %3D Select one: а. 2 b. 1 С. О d. 3
Central angles and arc mea X A Classes Maya Paniagua - L A ixl.com/math/geometry/central-angles-and-arc-measures BC Bookmarks Maya Paniagua - C.. Geumetry U.2 CenLI di dnyies anu diC Tmeasures VZA What is mZRUS? x+98° U 770 x+96° 53° MZRUS = Submit
1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of numbers? 2) A man invested 1000 Pesos per month on a bank that offers 6% interest compounded annually. How much can he get after 5 years? 3) A vessel is in a form of an inverted regular square pyramid of altitude 250 mm and base edge 160 mm. The depth of the water contains is 150mm. How much will the surface area rise when 0.5L of water is added.

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