4. An average of 3 patients arrives the emergency room of a hospital in a 10-minute time interval. According to the Poisson distribution in this period of time, a) What is the probability of one patient arrival? b) What is the probability of having at least 5 patient arrivals? Note: For any given arrival time, a discrete Poisson distribution can be established by using the formula P(x): for x = 0,1, 2,3, 4 .. x! where P(x) = probability of x arrivals x = number of arrivals per unit of time A = average arrival rate e = 2.7183

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4. An average of 3 patients arrives the emergency room of a hospital in a 10-minute time interval.
According to the Poisson distribution in this period of time,
a) What is the probability of one patient arrival?
b) What is the probability of having at least 5 patient arrivals?
Note: For any given arrival time, a discrete Poisson distribution can be established by using the
formula
e
P(x):
х!
for x = 0, 1, 2, 3, 4, ...
where P(x) = probability of x arrivals
x = number of arrivals per unit of time
A = average arrival rate
e = 2.7183
Transcribed Image Text:4. An average of 3 patients arrives the emergency room of a hospital in a 10-minute time interval. According to the Poisson distribution in this period of time, a) What is the probability of one patient arrival? b) What is the probability of having at least 5 patient arrivals? Note: For any given arrival time, a discrete Poisson distribution can be established by using the formula e P(x): х! for x = 0, 1, 2, 3, 4, ... where P(x) = probability of x arrivals x = number of arrivals per unit of time A = average arrival rate e = 2.7183
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