document.write( "Question 1172792: A machine produce 10% defective bolts. 400 bolts produced by the machine are
\n" ); document.write( "randomly selected. What is the probability that:\r
\n" ); document.write( "\n" ); document.write( "(a) 65 or more bolts are defective
\n" ); document.write( "(b) less than 35 bolts are defective
\n" ); document.write( "(c) At least 30 bolts are defective
\n" ); document.write( "(d) At most 60 bolts are defective
\n" ); document.write( "(e) Between 40 and 60 bolts are defective
\n" ); document.write( "

Algebra.Com's Answer #797904 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi
\n" ); document.write( " Binomial Distribution
\n" ); document.write( "p(def) = .10 and n = 400
\n" ); document.write( "Using Calculator:
\n" ); document.write( "(a) 65 or more bolts are defective
\n" ); document.write( "P(x ≥ 65) = 1 - P(x ≤ 64) = 1 - binomcdf(400,.1,64) = 1 - .9999 = .0001
\n" ); document.write( "(b) less than 35 bolts are defective
\n" ); document.write( "P(x< 35) = binomcdf(400,.1,34) = .1804
\n" ); document.write( "(c) At least 30 bolts are defective
\n" ); document.write( "P(x ≥ 30) = 1 - P(x ≤ 29) = 1 - binomcdf(400,.1,29) = 1 - .0357 = .9643
\n" ); document.write( "(d) At most 60 bolts are defective
\n" ); document.write( "P(x ≤ 60) = binomcdf(400,.1,60) = .9994
\n" ); document.write( "(e) Between 40 and 60 bolts are defective
\n" ); document.write( "P(x ≤ 40) = .542
\n" ); document.write( "P = .9994 - .542 =
\n" ); document.write( "P = .9994 - .542 = .4574
\n" ); document.write( "Stattrek.com has calculators You may check YOUR answers with
\n" ); document.write( "Wish You the Best in your Studies.\r
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