(a) A racing car is one of the many toys manufactured by Mack Corporation. times for this toy follow a normal distribution with a mean of 55 minutes a deviation of 4 minutes. The company closes at 5pm every day. If one wo assemble a racing car at 4pm, what is the probability that she will finish t the company closes for the day? i Find the probability that she will finish this job before the compa the day?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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(a) A racing car is one of the many toys manufactured by Mack Corporation. The assembly
times for this toy follow a normal distribution with a mean of 55 minutes and a standard
deviation of 4 minutes. The company closes at 5pm every day. If one worker starts to
assemble a racing car at 4pm, what is the probability that she will finish this job before
the company closes for the day?
i
Find the probability that she will finish this job before the company closes for
the day?
What percentage of the worker will finish this job within 30 minutes of the
population mean?
ii
What percentage of the worker will finish this job is lower than the population
mean by 1 hour or more?
Transcribed Image Text:(a) A racing car is one of the many toys manufactured by Mack Corporation. The assembly times for this toy follow a normal distribution with a mean of 55 minutes and a standard deviation of 4 minutes. The company closes at 5pm every day. If one worker starts to assemble a racing car at 4pm, what is the probability that she will finish this job before the company closes for the day? i Find the probability that she will finish this job before the company closes for the day? What percentage of the worker will finish this job within 30 minutes of the population mean? ii What percentage of the worker will finish this job is lower than the population mean by 1 hour or more?
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