Algebra.Com's Answer #836910 by ikleyn(52776)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "The duration of a professor's class has continuous uniform distribution
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document.write( "between 49.2 minutes and 55.5 minutes. If one class is randomly selected
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document.write( "and the probability that the duration of the class is longer than
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document.write( "a certain number of minutes is 0.536, then find the duration of the randomly
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document.write( "selected class, i.e., if P(x>c)=0.536, then find c, where is c the duration
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document.write( "of the randomly selected class. Round your answer to one decimal  place.
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document.write( "In this problem with uniform distribution function, the probability P(x > c) is\r\n" );
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document.write( " P(x > c) =  =  .\r\n" );
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document.write( " | It is a basic equation for the uniform distribution |\r\n" );
document.write( " | and knowing this equation is a pre-requisite, so I assume |\r\n" );
document.write( " | that this equation is FAMILIAR to you and I should not explain |\r\n" );
document.write( " | its origin. |\r\n" );
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document.write( "Thus they want you find the value of \"c\" from this equation\r\n" );
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document.write( " = 0.536. (1)\r\n" );
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document.write( "There is nothing easier than that. You need multiply both sides of the equation (1) by 6.3\r\n" );
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document.write( " 55.5-c = 0.536*6.3 = 3.3768\r\n" );
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document.write( "and simplify it further\r\n" );
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document.write( " 55.5 - 3.3768 = c\r\n" );
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document.write( " c = 52.1232.\r\n" );
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document.write( "ANSWER. c = 52.1 minutes (rounded to one decimal place).\r\n" );
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document.write( "Solved.\r
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document.write( "Please write me if you do understand everything in my solution.\r
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