Suppose that students are working extra and helps with e-mail support for a acco

Question

 Suppose that students are working extra and helps with e-mail support for a accounting system. Every weekday at . 16-18 , you should answer incoming questions via email. Every weekday afternoon at . 16:00 , log in , and the likelihood of getting an e-mail is equal at all times between 16-18 and you can expect that it will A + B + C + D + E E -mails per hour . Suppose now that all e -mail received is independent of each other and the number of e-mails on a given day is independent of the number of emails a day other . a) What is the probability that you will not receive a single e -mail for a whole shifts ? ( 0.3p ) b ) What is the probability that you will not get a single email between 16:20 to 16:40 during a shift ? ( 0.3p ) c ) What is the probability that during a whole week of work shifts ( weekday afternoons ) does not receive a single e -mail ? ( 0.4p )  A = 8 , B = 4 , C = 0 , D = 8, E = 1  

Explanation / Answer

Average miles per hour = 21

No of mails received per hour is Poisson

a) P (X=0 during shift) = 7.52x10-10

b) P(X=0 when average =21/3)=0.00091188

c)P(X=0 in 7 days with average 27*7) =0.000 (negligible)

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