document.write( "Question 1175319: 5. Old-fashioned mechanical alarm clocks were not all that accurate. Suppose that the alarm on one suck clock is equally likely to go off at any time from 2 minutes before to 2 minutes after the alarm’s setting. Let the random variable X=the amount of time (in minutes) from when the alarm is set to when it goes off. Note that X will be negative if the alarm goes off early.\r
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document.write( "a. Sketch a graph of the uniform probability distribution of X.
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document.write( "b. Find the probability that the alarm goes off within 10 seconds of the time for which it is set on a randomly
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Algebra.Com's Answer #800914 by ikleyn(52813)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "The given uncertainty interval is 20 seconds long (20 = 10 + 10 seconds).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The base uncertainty interval is 4 minutes long (4 = 2 + 2 minutes), or 4*60 = 240 seconds.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The probability under the problem's question is the ratio\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |