document.write( "Question 1199970: 1. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and standard deviation of 10minutes.
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document.write( "a.) What is the probability of completing the examination in 1hour or less.
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document.write( "b.) What is the probability that a student will complete the exam in more than 60minutes but less than 75 minutes.
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document.write( "c.) Assume that the class has 60students and the examination period is 90minutes, how many student do you expect to be unable to complete the exam in the allotted time.
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Algebra.Com's Answer #833964 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you can use the following calcuator to solve this: \n" ); document.write( "https://davidmlane.com/hyperstat/z_table.html\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the mean is 80 minuts and the standard dviation is 10 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a.) What is the probability of completing the examination in 1hour or less.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability is equal to .0228.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b.) What is the probability that a student will complete the exam in more than 60minutes but less than 75 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability is .2858.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c.) Assume that the class has 60students and the examination period is 90minutes, how many student do you expect to be unable to complete the exam in the allotted time.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability is .1587 * 60 = 9.522. \n" ); document.write( "you would expect the number of students to be equal to 10.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "if you need to know how to do this using z-scores, let me know. \n" ); document.write( "theo\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |