document.write( "Question 1198161: During the registration period, St. Mary’s Univeristy has a technician in its service center to answer students’ questions. The number of telephone calls arriving at this center follows a Poisson distribution with an approximate average rate of 10/h. The time required to answer one call follows an exponential distribution with an average of 4 min. Answer the following questions:
\n" ); document.write( " What is the average time between incoming calls?
\n" ); document.write( " What is the average number of calls that the technician can attend in 1h?
\n" ); document.write( "What is the probability of there being exactly four calls on hold at a given time?
\n" ); document.write( " What is the probability of the number of calls in the system exceeding 10? \n" ); document.write( "

Algebra.Com's Answer #831703 by ewatrrr(24785) $\"\"$ $\"About$

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calls arriving- poisson distribution with an approximate average rate of 10/h.
\n" ); document.write( "calls answered- poisson distribution with an approximate average rate of 15/h.
\n" ); document.write( "What is the average time between incoming calls? 6min
\n" ); document.write( "What is the average number of calls that the technician can attend in 1h? 15
\n" ); document.write( "What is the probability of there being exactly four calls on hold at a given time?
\n" ); document.write( " poissonpdf(19,10) = ,0037
\n" ); document.write( "What is the probability of the number of calls in the system exceeding 10?
\n" ); document.write( " 1 - poisson(10,10 ) = 1-0.583 = .417 \n" ); document.write( "

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