document.write( "Question 765201: A random number generator generates numbers between 0 and 10. Let random variable X be the number generated. Suppose X has a uniform distribution. What is the probability that the computer generates a number between 1 and 4? Note: you must find the probability density function of X.\r
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document.write( "Would really like to see how I need to work this problem. Thank you. \n" );
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Algebra.Com's Answer #466012 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! The probability density function of X which has a uniform distribution on [0, 10] is defined in the following manner: \n" ); document.write( "f(x;A,B) = 1 / (B-A); where x is > or = A and less than or = B, f(x;A,B) = 0 for all other values of x, \n" ); document.write( "now f(x;A,B) = 1 / (10 -0) = 1/10 for each number generated in [0, 10] \n" ); document.write( "=============================================================================== \n" ); document.write( "the probability that the computer generates a number between 1 and 4 is \n" ); document.write( "(4 - 1) / (10 - 0) = 3/10 = .30\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |