Algebra.Com's Answer #853527 by ikleyn(53618)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A lot of 75 washers contains 5 in which the variability in thickness around the circumference
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document.write( "of the washer is unacceptable. A sample of 10 washers is selected at random, without
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document.write( "replacement.
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document.write( "(a) What is the probability that none of the unacceptable washers is in the sample?
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document.write( "(b) What is the probability that at least one unacceptable washer is in the sample?
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document.write( "(c) What is the probability that exactly one unacceptable washer is in the sample?
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document.write( "(d) What is the mean number of unacceptable washers in the sample?
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document.write( "(a) What is the probability that none of the unacceptable washers is in the sample?\r\n" );
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document.write( " One way to calculate is to use the formula\r\n" );
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document.write( " P =  =  .\r\n" );
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document.write( " The numerator is the number of favorable choices from 70 good washers taken 5 at a time;\r\n" );
document.write( " the denominator is the number of all possible choices from 75 washers taken 5 at a time.\r\n" );
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document.write( " This is the ratio of two very big numbers (12-digits or 11-digits).\r\n" );
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document.write( " They can be calculated in the scientific format, but this way does not give the feeling of numbers.\r\n" );
document.write( " So, I prefer another (equivalent) formula\r\n" );
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document.write( " P =  = 0.4786 (rounded). ANSWER\r\n" );
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document.write( " This formula is self-explanatory.\r\n" );
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document.write( " Part (a) is solved.\r\n" );
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document.write( "(b) What is the probability that at least one unacceptable washer is in the sample?\r\n" );
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document.write( " This probability is the complement\r\n" );
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document.write( " P' = 1 - P = 1 - 0.4786 = 0.5214 (rounded). ANSWER\r\n" );
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document.write( " Part (b) is solved.\r\n" );
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document.write( "(c) What is the probability that exactly one unacceptable washer is in the sample?\r\n" );
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document.write( " One way to calculate is to use the formula\r\n" );
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document.write( " P =  .\r\n" );
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document.write( " Again, this is the ratio of two very big numbers (12-digits or 11-digits).\r\n" );
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document.write( " They can be calculated in the scientific format, but this way does not give the feeling of numbers.\r\n" );
document.write( " So, I prefer another (equivalent) formula\r\n" );
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document.write( " P =  = 0.5178 (rounded). ANSWER\r\n" );
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document.write( " Part (c) is solved.\r\n" );
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document.write( "(d) What is the mean number of unacceptable washers in the sample?\r\n" );
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document.write( " It is  =  .\r\n" );
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document.write( "Solved. All questions are answered.\r
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document.write( "I submit this my solution as an opposition to the post by @CPhill.\r
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document.write( "I want you see the difference between a true Math solution,
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document.write( "which teaches on how to solve a typical Math problem by a traditional way and how to makes it effectively
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document.write( "in opposite to the post by @CPhill, which is the run of the undebugged computer code
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document.write( "and demonstrates how the Artificial Intelligence should not communicate with a user.\r
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