Question 1 Outpatient clinics are hospital clinics that have appointments for patients who visit the hospital without being admitted. These are quite similar to your local General Practitioner's (GP's) office. Outpatient clinics at one local hospital include Urology, Spasticity Management, Sex & Fertility, Upper Limb Clinic, Plastic Surgery and Adult spina bifida. At one particular clinic, it is known that the distribution of appointment times (in minutes) looks like f(t) = at² + bt where 0 ≤ t ≤ 10. Hospital administrative staff do not know the values of a and b. They do know that the average appointment duration is 5 minutes. i. What are the values of a and b?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 82E
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Question 1
Outpatient clinics are hospital clinics that have appointments for patients who visit the hospital without
being admitted. These are quite similar to your local General Practitioner's (GP's) office. Outpatient clinics
at one local hospital include Urology, Spasticity Management, Sex & Fertility, Upper Limb Clinic, Plastic
Surgery and Adult spina bifida.
At one particular clinic, it is known that the distribution of appointment times (in minutes) looks like
f(t) = at² + bt
where 0 ≤ t ≤ 10.
Hospital administrative staff do not know the values of a and b. They do know that the average appointment
duration is 5 minutes.
i. What are the values of a and b?
Transcribed Image Text:Question 1 Outpatient clinics are hospital clinics that have appointments for patients who visit the hospital without being admitted. These are quite similar to your local General Practitioner's (GP's) office. Outpatient clinics at one local hospital include Urology, Spasticity Management, Sex & Fertility, Upper Limb Clinic, Plastic Surgery and Adult spina bifida. At one particular clinic, it is known that the distribution of appointment times (in minutes) looks like f(t) = at² + bt where 0 ≤ t ≤ 10. Hospital administrative staff do not know the values of a and b. They do know that the average appointment duration is 5 minutes. i. What are the values of a and b?
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