document.write( "Question 1197391: The line width of a tool used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer.
\n" ); document.write( "(a) What is the probability that a line width is greater than
\n" ); document.write( "0.62 micrometer?
\n" ); document.write( "(b) What is the probability that a line width is between 0.47 and 0.63 micrometer?
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\n" ); document.write( "(c) The line width of 90% of samples is below what value? \n" ); document.write( "

Algebra.Com's Answer #830646 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi  \r\n" );
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document.write( "Normal Distribution: µ = .5 and σ = .05\r\n" );
document.write( "Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus\r\n" );
document.write( "normalcdf(smaller value, larger value, µ, σ).\r\n" );
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document.write( "P(x >.62 ) = normalcdf( .62, 9999, .5, .05) = .0082\r\n" );
document.write( "P(.47 ≤ x ≤ .63) = normalcdf( .47, .63, .5, .05) = .7211\r\n" );
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document.write( "The line width of 90% of samples is below what value\r\n" );
document.write( "  z= Invnorm(.90) = 1.28\r\n" );
document.write( " =  .05(1.28) + .5  \r\n" );
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document.write( "Recommend Using stattrek.com to check  Results\r\n" );
document.write( "until You are familiar with Using Your Calculator.\r\n" );
document.write( "Trusting Your Use of Your calculator is key to success working with \r\n" );
document.write( "Distributions.\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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