document.write( "Question 1200764: Let X be the ratio of sales to profits of some company. Assume that X has distribution function F(x) = 0 if x<2, F(x) = (x^2-4)/5 if 2 < x < 3, F(x) = 1 if x>3. What is the probability that X is between 2.5 and 5? \n" ); document.write( "

Algebra.Com's Answer #834978 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "In the post, the problem's formulation is incomplete.\r\n" );
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document.write( "To be complete, it must say that the distribution function is the CUMULATIVE distribution function, \r\n" );
document.write( "not the density distribution.\r\n" );
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document.write( "Therefore, I must to make this addition to clarify everything.\r\n" );
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document.write( "Also, the given fact that X is \"the ratio of sales to profits of some company\" is not necessary for the solution of the problem.\r\n" );
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document.write( "It is a typical \"noise\" to distract an attention of a reader.\r\n" );
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document.write( "To find the desired probability, simply take into account that F(5) = 1,\r\n" );
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document.write( "calculate F(2.5) =  = 0.5625  and compute the difference\r\n" );
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document.write( "    F(5) - F(2.5) = 1 - 0.5625 = 0.4375.\r\n" );
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document.write( "This number  0.4375  is your  ANSWER.\r\n" );
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