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The Timber Strong team designed and built a 2-story wooden structure for the competition. There was a very inexperienced member of the team who was assigned the task of nailing the sheathing onto the wall panels. Their nailing ability is normally distributed with an average of 12.3 strikes required to completely embed the nail into the wood, and a standard deviation of 2.5 strikes. a) What is the probability that the student can completely drive the nail into the structure in 10 or fewer strikes? b) 75% of the time, it takes the student fewer than how many strikes to completely embed a nail? (You will likely get a decimal values for this answer, don't round.) c) The sheathing they are attaching requires 8 nails. What is the probability they completely attach the sheathing with an average of 11 or fewer strikes per nail?

The Timber Strong team designed and built a 2-story wooden structure for the competition. There was a very inexperienced member of the team who was assigned the task of nailing the sheathing onto the wall panels. Their nailing ability is normally distributed with an average of 12.3 strikes required to completely embed the nail into the wood, and a standard deviation of 2.5 strikes. a) What is the probability that the student can completely drive the nail into the structure in 10 or fewer strikes? b) 75% of the time, it takes the student fewer than how many strikes to completely embed a nail? (You will likely get a decimal values for this answer, don't round.) c) The sheathing they are attaching requires 8 nails. What is the probability they completely attach the sheathing with an average of 11 or fewer strikes per nail?

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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The Timber Strong team designed and built a 2-story wooden structure for the competition. There was a very inexperienced member of the team who was assigned the task of nailing the sheathing onto the wall panels. Their nailing ability is normally distributed with an average of 12.3 strikes required to completely embed the nail into the wood, and a standard deviation of 2.5 strikes. a) What is the probability that the student can completely drive the nail into the structure in 10 or fewer strikes? b) 75% of the time, it takes the student fewer than how many strikes to completely embed a nail? (You will likely get a decimal values for this answer, don't round.) c) The sheathing they are attaching requires 8 nails. What is the probability they completely attach the sheathing with an average of 11 or fewer strikes per nail?
Transcribed Image Text:The Timber Strong team designed and built a 2-story wooden structure for the competition. There was a very inexperienced member of the team who was assigned the task of nailing the sheathing onto the wall panels. Their nailing ability is normally distributed with an average of 12.3 strikes required to completely embed the nail into the wood, and a standard deviation of 2.5 strikes. a) What is the probability that the student can completely drive the nail into the structure in 10 or fewer strikes? b) 75% of the time, it takes the student fewer than how many strikes to completely embed a nail? (You will likely get a decimal values for this answer, don't round.) c) The sheathing they are attaching requires 8 nails. What is the probability they completely attach the sheathing with an average of 11 or fewer strikes per nail?
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