Problem 8At an electronics manufacturing facility, based on past experience, 86% of new assembly lineworkers that attended the facility's training program meet the desired production quota, whereonly 35% of new assembly line workers that do not attend the training program meet thequota. If 80% of all new assembly line workers attend the training program, what is theprobability that a new worker will meet the production quota?

The data on new assembly workers in an electronic manufacturing facility is provided as follows:86%…

Answered: At an electronics manufacturing…

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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The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 5.6% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? c. What is the probability of not being awakened if the student uses three independent alarm clocks? d. Do the second and third alarm clocks result in greatly improved reliability? A. No, because the malfunction of both is equally or more likely than the malfunction of one. B. No, because total malfunction would still not be unlikely. C. Yes, because total malfunction would not be impossible, but it would be unlikely. D. Yes, because you can always be certain that at…
rudolph's electronics makes sets of christmas lights. on average, 4% of the bulbs produced by theircupplier will be defective. rudolph samples 300 bulbs from each shipment. if more than 3% of the bulbs aredefective, he refuses the shipment. what is the probability that a given shipment will be accepted?
An opinion poll asks a simple random sample of 500 adults whether they favor giving parents of school-age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers it collected. Suppose that in fact 47% of the population favor this idea. What is the probability that more than half (50%) of the sample are in favor? (Use State/Plan/Do/Conclude)
a recent senatorial election, 58% of the voters in a certain district were registered as Democrats, 32% were registered as Republicans, and 10% were registered as Independents. The cumbent Democratic senator was reelected over her Republican and Independent opponents. Exit polls indicated that she gained 79% of the Democratic vote, 30% of the Republican ote, and 34% of the Independent vote. ASsuming that the exit poll is accurate, what is the probability that a vote for the incumbent was cast by a registered Republican? (Round your nswer to three decimal places.) E Show My Work (Optional) ?
A small business is studying the number of customers that enter the store. They record the number of customers entering every hour for three days, and find that 27% of the time two customers enter the store in an hour, 28% of the time of the time one customer enters the store in an hour, and the remainder of the time no one enters the store in an hour. What is the expected number of customers per hour?
In a recent senatorial election, 47% of the voters in a certain district were registered as Democrats, 36% were registered as Republicans, and 17% were registered as Independents. The incumbent Democratic senator was reelected over her Republican and Independent opponents. Exit polls indicated that she gained 73% of the Democratic vote, 22% of the Republican vote, and 34% of the Independent vote. Assuming that the exit poll is accurate, what is the probability that a vote for the incumbent was cast by a registered Republican? (Round your answer to three decimal places.)
A gas station has three grades of fuel, regular, premium and diesel. Due to problems with the supply chain, the probabilities that the station will run out of any three fuel types in a week are 0.10, 0.16 and 0.24, respectively. These probabilities are statistically independent. Also, if there is a shortage of diesel, the probability of a shortage of premium becomes 0.25. 1. How likely is the station to run out of all three fuels in a given week? 2. What is the probability that if regular runs out, both premium and diesel will also run out? 3. What is the probability that the station will run out of at least one of either premium and diesel? 4. What is the probability that the station will run out of at least 2 of the fuels in a week?
The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute. Determine the following operating characteristics for the system: The probability that no customers are in the system. If required, round your answer to four decimal places.P0 = The average number of customers waiting. If required, round your answer to four decimal places.Lq = The average number of customers in the system. If required, round your answer to the nearest whole number.L = The average time a customer spends waiting. If required, round your answer to four decimal…

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