A company uses three machines for production. For each machine the numberof flaws in a produced item is poisson distributed. Machine A produces 55% ofeverything and has an average of 1/1000 flaws per item. Machine Bproduces 30% of everything and has an average of 3/1000 flaws. Machine Cproduces 15% of everything and has an average of 3/500 flaws. At the end allproduced items get mixed up and we randomly select one.(a) What is the expected number of flaws on that item?(b) What is the probability that the selected item has at least one flaw? (Roundto 5 decimal places)

A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Answered: A company uses three machines for…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. Company A makes 80% of the ELTs, Company B makes 15% of them and Company C makes the other 5%. The ELTs made by Company A have a 7.8% rate of defects, the Company B ELTs have a 6.3% rate of defects and the Company C ELTs have 6.4% rate of defects. If a randomly selected ELT is tested and found to be defective, find is the probability that it was made by Company A? Give your answer to three decimal places.
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