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Many electronic (e-)cigarettes work by vaportzing a liquid mixture of flavors and (usually) nicotine that is contained in a cartridge. When the smoker inhales on the e-cigarette, the liquid passes through a heating element and tums to a mist. Of importance to a manufacturer and consumer is the number of "puffs' that a cigarette can deliver before the cartridge needs to be replaced. À puff is defined as a two-second inhale. One manufacturer notes that the number of puffs that its cartridge can deliver, Y, is a normally distributed random variable with a mean of 260 puffs and a standard devation of 15 puffs. The manufacturer will replace a customer's cartridge free of charge if the number of puffs the customer gets out of the cartridge is below some guaranteed number. Suppose the manufacturer wants to replace no more than 2% of its cartridges as part of the guarantee. How many puffs should the manufacturer guarantee that a cartridge can produce? Round DOWN to the nearest whole puff. Hint: You will need to first find a z-score associated with the probability in the question, and then solve the z-score formula to find the y associated with that probability.

Many electronic (e-)cigarettes work by vaportzing a liquid mixture of flavors and (usually) nicotine that is contained in a cartridge. When the smoker inhales on the e-cigarette, the liquid passes through a heating element and tums to a mist. Of importance to a manufacturer and consumer is the number of "puffs' that a cigarette can deliver before the cartridge needs to be replaced. À puff is defined as a two-second inhale. One manufacturer notes that the number of puffs that its cartridge can deliver, Y, is a normally distributed random variable with a mean of 260 puffs and a standard devation of 15 puffs. The manufacturer will replace a customer's cartridge free of charge if the number of puffs the customer gets out of the cartridge is below some guaranteed number. Suppose the manufacturer wants to replace no more than 2% of its cartridges as part of the guarantee. How many puffs should the manufacturer guarantee that a cartridge can produce? Round DOWN to the nearest whole puff. Hint: You will need to first find a z-score associated with the probability in the question, and then solve the z-score formula to find the y associated with that probability.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Many electronic (e-)cigarettes work by vaporizing a liquid mixture of flavors and (usually) nicotine that is contained in a cartridge. When the smoker inhales on the e-cigarette , the liquid passes through a heating element and turns to a mist. Of importance to a manufacturer and consumer is the number of "puffs' that a cigarette can deliver before the cartridge needs to be replaced. À puff is defined as a two-second inhale. One manufacturer notes that the number of puffs that its cartridge can deliver, Y, is a normally distributed random variable with a mean of 260 puffs and a standard devlation of 15 puffs. The manufacturer will replace a customer's cartridge free of charge if the number of puffs the customer gets out of the cartridge is below some guaranteed number. Suppose the manufacturer wants to replace no more than 2% of its cartridges as part of the guarantee. How many puffs should the manufacturer guarantee that a cartridge can produce? Round DOWN to the nearest whole puff. Hint: You will need to first find a z-score associated with the probability in the question, and then solve the z-score formula to find the y associated with that probability.
Transcribed Image Text:Many electronic (e-)cigarettes work by vaporizing a liquid mixture of flavors and (usually) nicotine that is contained in a cartridge. When the smoker inhales on the e-cigarette , the liquid passes through a heating element and turns to a mist. Of importance to a manufacturer and consumer is the number of "puffs' that a cigarette can deliver before the cartridge needs to be replaced. À puff is defined as a two-second inhale. One manufacturer notes that the number of puffs that its cartridge can deliver, Y, is a normally distributed random variable with a mean of 260 puffs and a standard devlation of 15 puffs. The manufacturer will replace a customer's cartridge free of charge if the number of puffs the customer gets out of the cartridge is below some guaranteed number. Suppose the manufacturer wants to replace no more than 2% of its cartridges as part of the guarantee. How many puffs should the manufacturer guarantee that a cartridge can produce? Round DOWN to the nearest whole puff. Hint: You will need to first find a z-score associated with the probability in the question, and then solve the z-score formula to find the y associated with that probability.
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