A company has three machines B1, B2 and B3for making 1kN resistors. It has beenobserved that 70% of resistors produced by B1 are within 500 of the nominal value.Machine B2 produces 90% of resistors within 500 of the nominal value. The percentageof machine Bz is 50%. Each hour, machine B1 produces 4000 resistors, B2 produces5000 resistors and B3 produces 6000 resistors. All the resistors are mixed together atrandom in one bin and packed for shipment. What is the probability that an acceptableresistor comes from machine B, ?

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Answered: A company has three machines B1, B2 and…

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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Assume the rate at which the zombies spread is jointly proportional to the number of encounters between the infected and the people who are not infected yet. At the time, there are 300 students, faculty and staff on campus. When the government hears about the accident, they barricade the entire campus so no one can escape. After four hours, 20 people are infected. How many will be infected after ten hours if the T-virus started with a zombie?
A constant number of files are processed daily at Mehenti Carobar (MC) Pvt. Ltd. Three clerks can do the processing. To process MC’s daily files, the Senior clerk takes 2 hours more than the Head clerk; while the Junior clerk takes six more hours than the Senior clerk to process the same files. When working together, the Senior clerk and the Junior clerk can process a day’s files in just four hours. Today, Junior clerk has reported sick. How much time will it take the Head clerk and the Senior clerk, working together, to process MC’s daily files?
A 200-liter tank initially contains 100 liters of brine solution containing 25kg of salt. A brine solution containing 0.5 kg/liter of salt flows into the container at a rate of 1 liter/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 0.5 liters/min. How much salt is in the container after 10 minutes? When the tank is about to overflow, another drain is opened at 1 liter/min. How much salt is in the tank when the volume returns to what it was initially?
A 200-liter tank initially contains 100 liters of brine solution containing 25kg of salt. A brine solution containing 0.5 kg/ liter of salt flows into the container at a rate of 1 liter/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 0.5 liters/min. How much salt is in the container after 10 minutes? When the tank is about to overflow, another drain is opened at 1 liter/min. How much salt is in the tank when the volume returns to what it was initially?
A machine puts golf balls into boxes and then loads the boxes into cases. The machine is normally able to load 25 cases of golf balls per hour. There are 20 boxes in one case. There are 12 balls in one box. Today, the machine is running a little faster than usual so that it takes 0.2 seconds less time to load one golf ball into a box than it normally does. What is the machine's new rate in cases of golf balls per hour!
Paul's firm produces the same good as Sal's firm. The total cost of producing qp units in Paul's firm is Cp( qp ) = 8.6 qp + 1.1. The total cost of producing qs units in Sal's firm is Cs( qs ) = 8.6 qs + 1.1. What is the efficiency loss if each person's firm produces half of a total of 523 units?
A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially contains 100 liters of pure water. The mixed solution is drained at 3 liters per minute. At what time will the solution contain 10% ammonia?
Suppose that 6 people can stuff flyers into 500 envelopes in 5 minutes. Assume all people work together at the same time and at the same steady rate.

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