3) The number of requests for assistance are received by a towing service at an average...
3) The number of requests for assistance are received by a
towing service
at an average steady rate of 4 per hour. If, during a normal day
the requests
are received independently of one another, compute the probability
that
exactly ten requests are received during a particular 2-hour period
of a
normal day. Suppose, that the dispatcher ignored at least one call
between
225pm and 2:45pm. What is the probability that no more than one
call was
received during this time period? What is the probability that no
more than
one call is received between 2:45 pm and 3:00 pm?
Homework Answers
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3) The number of requests for assistance are received by a
towing service
at an average...
The number of requests for assistance received by a towing service is a Poisson process with...
The number of requests for assistance received by a towing service is a Poisson process with rate θ = 4 per hour. a. Compute the probability that exactly ten requests are received during a particular 2-hour period. b. If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance? c. How many calls would you expect during their break?
The number of requests for assistance received by a towing service is a Poisson process with...
The number of requests for assistance received by a towing service is a Poisson process with rate ? = 4 per hour. a) If the operators take a 30 min break for lunch, what is the probability that they do not miss any calls for assistance? b) Assuming they work 10 total hours on a particular day. What is the probability that assist less than 30 people (consider and approximation to help you solve this part)? c) Calculate the average...
Assg11. The average number of calls received by a switchboard in a 30-minute period is 20...
Assg11. The average number of calls received by a switchboard in a 30-minute period is 20 a. What is the probability that between 10:00 and 10:30 the switchboard will receive exactly 10 calls? b. What is the probability that between 10:00 and 10:30 the switchboard will receive more than 9 calls but fewer than 15 calls? c. What is the probability that between 10:00 and 10:30 the switchboard will receive fewer than 7 calls?
Calls received by a car rescue service occur independently and at a constant average rate of...
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
1) The number of calls received at a certain information desk has a Poisson Distribution with...
1) The number of calls received at a certain information desk has a Poisson Distribution with an average of 6 calls per hour. (15 points) (a) Find the probability that there is at exactly one call during a 15 minute period. (You cannot use tables here - show all work) (b) Find the probability that at least 6 calls are received during a 30 minute period. (you may use tables here) ******************************** 2) Note that for the above problem, the...
At a customer service call center for a large company, the number of calls received per...
At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 120 calls and a standard deviation of 5 calls. What is the probability that during a given hour of the day there will be less than 132 calls, to the nearest thousandth?
A children's hospital has reported that an average of 6 patients arrive in the emergency room...
A children's hospital has reported that an average of 6 patients arrive in the emergency room each hour. Arrivals at this emergency room are known to follow a Poisson probability distribution. a.) What is the probability that exactly 10 patients will arrive in the emergency room between 1:00 pm and 2:00 pm today? b.) What is the probability that no more than 3 patients will arrive in the emergency room between 6:30 pm and 7:30 pm today? c.) What is...
A children's hospital has reported that an average of 6 patients arrive in the emergency room eac...
A children's hospital has reported that an average of 6 patients arrive in the emergency room each hour. Arrivals at this emergency room are known to follow a Poisson probability distribution. a.) What is the probability that exactly 10 patients will arrive in the emergency room between 1:00 pm and 2:00 pm today? b.) What is the probability that no more than 3 patients will arrive in the emergency room between 6:30 pm and 7:30 pm today? c.) What is...
3. Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such...
3. Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that, λ (t)-0.5 calls/hr for 0<ts7 hr, λ(t)-09 calls/hr for 7<ts17 hr, and λ (t)-1.3 calls/hr for 17<ts24 a. b. c. d. Find the probability that there are no calls between 6 am and 8 am. Find the probability that there are at most 2 calls before noon What is the probability that there is exactly one call between 4:50 pm and 5:10 pm?...
4. The emergency telephone (911) center in a large city receives an average of 210 calls...
4. The emergency telephone (911) center in a large city receives an average of 210 calls per hour during a typical day. On average, each call requires about 121 seconds fora dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 7 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
Assg11. The average number of calls received by a switchboard in a 30-minute period is 20 a. What is the probability that between 10:00 and 10:30 the switchboard will receive exactly 10 calls? b. What is the probability that between 10:00 and 10:30 the switchboard will receive more than 9 calls but fewer than 15 calls? c. What is the probability that between 10:00 and 10:30 the switchboard will receive fewer than 7 calls?
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
3. Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that, λ (t)-0.5 calls/hr for 0<ts7 hr, λ(t)-09 calls/hr for 7<ts17 hr, and λ (t)-1.3 calls/hr for 17<ts24 a. b. c. d. Find the probability that there are no calls between 6 am and 8 am. Find the probability that there are at most 2 calls before noon What is the probability that there is exactly one call between 4:50 pm and 5:10 pm?...
4. The emergency telephone (911) center in a large city receives an average of 210 calls per hour during a typical day. On average, each call requires about 121 seconds fora dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 7 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
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