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1. Marcela and Lorenza agreed to go under one-month observation period. During the time, the fashion designer noticed that to cut a basic clothing pattern, Marcela takes 20 to 40 minutes while Lorenza takes 15 to 45 minutes. Suppose the pattern for a simple garment was requested on a rush. If both seamstresses started cutting at 8:00 AM, who has a better chance of completing the task by 8:25 AM?

1. Marcela and Lorenza agreed to go under one-month observation period. During the time, the fashion designer noticed that to cut a basic clothing pattern, Marcela takes 20 to 40 minutes while Lorenza takes 15 to 45 minutes. Suppose the pattern for a simple garment was requested on a rush. If both seamstresses started cutting at 8:00 AM, who has a better chance of completing the task by 8:25 AM?

A First Course in Probability (10th Edition)
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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Answer no. 2 only. Thank you
An up and coming fashion designer plans to expand her business and is looking for a seamstress to add in her team. She was able to narrow down the applicants to two, Marcela and Lorenza. Help the fashion designer decide on who to hire as new seamstress by answering the following. 1. Marcela and Lorenza agreed to go under one-month observation period. During the time, the fashion designer noticed that to cut a basic clothing pattern, Marcela takes 20 to 40 minutes while Lorenza takes 15 to 45 minutes. Suppose the pattern for a simple garment was requested on a rush. If both seamstresses started cutting at 8:00 AM, who has a better chance of completing the task by 8:25 AM? 2. During the observation period, it was observed that on the average, the number of simple garments completed per day by Marcela and Lorenza is 6 and 4, respectively. This is considering that they are only allowed to work on one garment at a time. а. Suppose Marcela and Lorenza started working on the same garment at 10:00 AM and 30 minutes have passed since. What is the probability that each seamstress is still working on the garment one hour later? b. Who has the higher probability of completing her 12th garment within two days? 3. From their individual interview, Marcela claims that no more than 5% of the garments she sewed did not pass quality check while Lorenza claims her to be no more than 3%. During the observation period, Marcela completed 120 garments of which 5 needs to be refined and Lorenza completed 90 garments of which 3 needs to be refined. а. Who has the higher probability of telling the truth? b. The fashion designer implements a salary deduction whenever a seamstress produces 10 subpar garments. Based on the proportion of garments completed by Marcela and Lorenza that needed refining and using approximation, what is the probability that each seamstress gets salary deduction before completing her 100th garment? 4. Based on the information provided and probabilities computed in (1) to (3), which seamstress will you recommend for hiring? Justify your answer.
Transcribed Image Text:An up and coming fashion designer plans to expand her business and is looking for a seamstress to add in her team. She was able to narrow down the applicants to two, Marcela and Lorenza. Help the fashion designer decide on who to hire as new seamstress by answering the following. 1. Marcela and Lorenza agreed to go under one-month observation period. During the time, the fashion designer noticed that to cut a basic clothing pattern, Marcela takes 20 to 40 minutes while Lorenza takes 15 to 45 minutes. Suppose the pattern for a simple garment was requested on a rush. If both seamstresses started cutting at 8:00 AM, who has a better chance of completing the task by 8:25 AM? 2. During the observation period, it was observed that on the average, the number of simple garments completed per day by Marcela and Lorenza is 6 and 4, respectively. This is considering that they are only allowed to work on one garment at a time. а. Suppose Marcela and Lorenza started working on the same garment at 10:00 AM and 30 minutes have passed since. What is the probability that each seamstress is still working on the garment one hour later? b. Who has the higher probability of completing her 12th garment within two days? 3. From their individual interview, Marcela claims that no more than 5% of the garments she sewed did not pass quality check while Lorenza claims her to be no more than 3%. During the observation period, Marcela completed 120 garments of which 5 needs to be refined and Lorenza completed 90 garments of which 3 needs to be refined. а. Who has the higher probability of telling the truth? b. The fashion designer implements a salary deduction whenever a seamstress produces 10 subpar garments. Based on the proportion of garments completed by Marcela and Lorenza that needed refining and using approximation, what is the probability that each seamstress gets salary deduction before completing her 100th garment? 4. Based on the information provided and probabilities computed in (1) to (3), which seamstress will you recommend for hiring? Justify your answer.
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