Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients...
Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients per hour. What is the probability that a randomly chosen arrival to be between 10 and 15 minutes?
Homework Answers
Let the random variable X = arrival time between two patients
The random variable, X follows the exponential distribution with
mean 
Where,
Now, the probability that a randomly chosen arrival to be between 10 and 15 minutes is obtained using the cumulative distribution function for exponential distribution,
Add Answer to:
Patients arriving at an outpatient clinic follow an exponential
distribution at a rate of 1.5 patients...
Patients arriving at the emergency room of a local hospital follow a Poisson distribution with an...
Patients arriving at the emergency room of a local hospital follow a Poisson distribution with an average arrival rate of 26 per half hour. Find the probability that between 32 and 35 patients (inclusive) will arrive at the emergency room within a half hour. Round your answer to four decimal places, if necessary.
18.64 Patients arrive at a 1 doclor clinic according to a Poisson distribution at the rale of 20 ...
18.64 Patients arrive at a 1 doclor clinic according to a Poisson distribution at the rale of 20 patients per hour The waiting room does nol accommodate more than 14 palients. Examination time per patient is exponential a What is the probability that an arriving patient will not wait? b. Wnat is the probability that an arriving patent will find a seat in the room? c. What is the expected total time a patient spends in the clinic?
18.64 Patients...
A. A Medical Center is seeking the recruitment of a dentist for its outpatient clinic due...
A. A Medical Center is seeking the recruitment of a dentist for its outpatient clinic due to the high demand on dental services in the center. The center's records show that the patients arrive at the outpatient clinic at the rate of 8 per hour. The records also show that it takes an average of 6 minutes to checkup a patient. It is assumed that arrivals follow the Poisson distribution while the checking up times follow the negative exponential distribution....
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate...
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 59 per hour. Using the normal approximation to the Poisson, find the probability that the electric company receives at most 49 service calls per hour. Round your answer to four decimal places, if necessary.
A patient leaves an outpatient clinic every 5 minutes. There are 5 patients in the clinic...
A patient leaves an outpatient clinic every 5 minutes. There are 5 patients in the clinic waiting to be seen by the physician. How long will a patient be in the clinic? 5 15 10 25
(EXPONENTIAL DISTRIBUTION) Customers arrive at the claims counter at the rate of 20 per hour (Poisson...
(EXPONENTIAL DISTRIBUTION) Customers arrive at the claims counter at the rate of 20 per hour (Poisson distributed). What is the probability that the arrival time between consecutive customers is less than five minutes? Hint: Compute P(X<5) 1-e after compute ] (3 pts.)
The inter-arrival times of customers arriving at a HDB coffee shop were found to follow Exponential...
The inter-arrival times of customers arriving at a HDB coffee shop were found to follow Exponential distribution L H Frequency The grouped data shows frequency counts of sampled inter- 0 1 41 arrival times occurring greater than or equal to L minutes and 1 2 21 less than H minutes. A total of 100 sample inter-arrival times 23 19 were measured. Use the mid-point as a representative data in calculations for each interval. Test the claim that the population mean...
A checkout counter at a supermarket completes the process according to an exponential distribution with a...
A checkout counter at a supermarket completes the process according to an exponential distribution with a service rate of 6 per hour. A customer arrives at the checkout counter. Find the probability of the following events. a) The service is completed in fewer than 5 minutes. b) The customer leaves the counter more than 10 minutes after arriving. c) The service is completed in a time between 5 and 8 minutes.
105. Patients arrive at your Express Care clinic in the form of a Poisson distribution at...
105. Patients arrive at your Express Care clinic in the form of a Poisson distribution at a mean rate of 5.8 per hour. You have 3 providers per shift, and the service rate of seeing patients is exponentially distributed with a mean service rate of 2.3 patients per hour. Leadership has stated that patients should wait no more than 30 minutes for service. Answer the following questions: A. What is the probability that there are no patients in the system?...
The emergency room at Hospital Systems, Inc (HIS) serves patients who arrive according to a Poisson...
The emergency room at Hospital Systems, Inc (HIS) serves patients who arrive according to a Poisson distribution at the rate of 9 per hour. Treatment takes an average of 6 minutes and the treatment times can be considered to follow an exponential distribution. What is the (a) minimum number of doctors required so that at least 70% of the arriving patients can receive treatment immediately? (b) minimum number of doctors required so that the average time a patient waits for...
18.64 Patients arrive at a 1 doclor clinic according to a Poisson distribution at the rale of 20 patients per hour The waiting room does nol accommodate more than 14 palients. Examination time per patient is exponential a What is the probability that an arriving patient will not wait? b. Wnat is the probability that an arriving patent will find a seat in the room? c. What is the expected total time a patient spends in the clinic?
18.64 Patients...
A. A Medical Center is seeking the recruitment of a dentist for its outpatient clinic due to the high demand on dental services in the center. The center's records show that the patients arrive at the outpatient clinic at the rate of 8 per hour. The records also show that it takes an average of 6 minutes to checkup a patient. It is assumed that arrivals follow the Poisson distribution while the checking up times follow the negative exponential distribution....
(EXPONENTIAL DISTRIBUTION) Customers arrive at the claims counter at the rate of 20 per hour (Poisson distributed). What is the probability that the arrival time between consecutive customers is less than five minutes? Hint: Compute P(X<5) 1-e after compute ] (3 pts.)
The inter-arrival times of customers arriving at a HDB coffee shop were found to follow Exponential distribution L H Frequency The grouped data shows frequency counts of sampled inter- 0 1 41 arrival times occurring greater than or equal to L minutes and 1 2 21 less than H minutes. A total of 100 sample inter-arrival times 23 19 were measured. Use the mid-point as a representative data in calculations for each interval. Test the claim that the population mean...
Most questions answered within 3 hours.
-
Discuss the current status of Ulmus americana and the reasons for
it status. (answer in detail...
asked 2 minutes ago -
Q3. A car moves with a constant velocity of 25m/s east with
respect to a person...
asked 7 minutes ago -
If a bond currently sold at $865 with a yield to maturity of 8%
and a...
asked 24 minutes ago -
Q20
You are an international MIS consultant and have been asked to
brief a potential client...
asked 24 minutes ago -
Why companies use the variable costing method when the
absorption costing is the method approved by...
asked 27 minutes ago -
lease solve all the
questions, don't need to explanations
Q1 - All animal
species have general...
asked 5 hours ago -
Business Phasing
1.Discuss the logical progression for growing a business, which
starts from the initial idea...
asked 5 hours ago -
Modify
When executing on the command line having only
this program name, the program will accept...
asked 6 hours ago -
Kenny Electric Company's noncallable bonds were issued several
years ago and now have 20 years to...
asked 6 hours ago -
find H(e^Jtheta) at theta= 0, pi/10, pi/20, pi/2 for
the following:
a) H(e^Jtheta)= 1+e^Jtheta
b) H(e^Jtheta)=...
asked 7 hours ago -
Home Corporation will open a new store on January 1. Based on
experience from its other...
asked 7 hours ago -
In a neoclassical model, use the IS-LM to analyze the effect of
a permanent money supply...
asked 8 hours ago