Emergency Medicine. At a certain Emergency Room (ER), assume the number of ER admissions per day can be modeled by a Poisson distribution. On weekdays (Monday-Friday) they make an average of 100 admissions per day and 150 admissions per day on weekends (Saturday-Sunday).
(a) What is their expected number of ER admissions per week?
(b) What is the probability they will make 800 or more ER admissions during a typical week?

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contexto1025 contexto1025 · Answer 1 · 2022-11-29T07:09:39+01:00

a)The expected number of ER admissions per week is 800.

b)The probability they will make 800 or more ER admissions during a typical week is 1.

We have given that on average the number of admission on weekdays is 100

So, in five days number of admission are =5×100=500

Now, in weekend we have given that 150 admissions comes per day

So, in two days number of admission are =2×150=300

So, Total number of admissions =500+300=800 admissions.

b)We can see that total number of admissions are 800 on average, so it is the average number of admissions.

Here, we can see that this is the event of 100% occurrence. There are no chances of failure.

So, maximum probability of getting 800 or more ER admissions is 1.

Hence, a)ER admissions are 800 b)The probability of 800 or more admission is 1.

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