document.write( "Question 1205907: Flaws in plate glass used for large office buildings occur randomly at an average of 1 per 10 square feet.\r
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document.write( "PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS.
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document.write( "Part 1
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document.write( "a) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws?
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document.write( "The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws is
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document.write( "b) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw?
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document.write( "The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw is
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document.write( "enter your response here.
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Algebra.Com's Answer #843352 by Theo(13342)![]() ![]() You can put this solution on YOUR website! average number of flaws is 1 every 10 square feet. \n" ); document.write( "if 60 square foot panel, then the average number of flaws is 6. \n" ); document.write( "assuming a proportion type problem, then: \n" ); document.write( "n = 60 \n" ); document.write( "p = .1 \n" ); document.write( "q = 1-p = .9 \n" ); document.write( "np = 60 * .1 = 6 \n" ); document.write( "s = sqrt(n*p*q) = sqrt(5.4) = 2.3238 rounded to 4 decimal places. \n" ); document.write( "if average number of flaws is 2, then: \n" ); document.write( "z = (2-6)/2.3238 = -1.72 rounded to 2 decimal places. \n" ); document.write( "probability of getting a z-score less than that is .0427 rounded to 4 decimal places. \n" ); document.write( "if average number of flaws is 1, then z = (1-6)/2.3238 = -2.15 rounded to 2 decimal places. \n" ); document.write( "probability of getting a z-score greater than or equal to that is .9842 rounded to 4 decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "these are ball park figures. \n" ); document.write( "the actual value may not necessarily be exactly what they are, but they should be close. \n" ); document.write( "best i can do based on what i know. \n" ); document.write( " \n" ); document.write( " |