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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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