Suppose the number of emails sent from a system follows the Poisson distribution, which averages 30...
Suppose the number of emails sent from
a system follows the Poisson distribution, which averages 30 times
per hour.
a. Find the probability that an email will not be sent for a
certain minute.
b. Let T be a random variable that represents the time between when
an email is sent and the next email is sent., Find the probability
distribution of T and use this to determine the probability of more
than 10 minutes of time between when an email is sent and the next
email is sent.
Homework Answers
Poisson PMF is 
a) The Poisson parameter for 1 minute is 
.
The probability that an email will not be sent for a certain minute is
b) The time between emails 
is exponentially distributed with parameter 
. 
The PDF is
The probability of more than 10 minutes of time between when an email is sent and the next email is sent is
Poisson PMF is 
a) The Poisson parameter for 1 minute is 
.
The probability that an email will not be sent for a certain minute is
b) The time between emails 
is exponentially distributed with parameter 
. 
The PDF is
The probability of more than 10 minutes of time between when an email is sent and the next email is sent is
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