Question

The Office of Emergency Management of the city of Brampton reported that in a given time...

The Office of Emergency Management of the city of Brampton reported that in a given time period, '911' operators receive an average of 7.2 calls per hour. Assume that the number of '911' calls follows Poisson distribution. a. What is the probability that exactly five '911' calls will be made during the next hour? b. What is the probability that three or four '911' calls will be made during the next hour? c. What is the probability that three or more '911' calls will be made during the next hour? d. What is the probability that exactly four '911' calls will be made during the next 30 minutes?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The emergency telephone (911) center in a large city receives an average of 120 calls per...
The emergency telephone (911) center in a large city receives an average of 120 calls per hour during a typical day. On average, each call requires about 121 seconds for a 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 4 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85%...
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received three calls. (a) What is the probability that all three calls are, in fact, emergencies? (Round your answer to three decimal places.) (b) What is the probability that two or more calls are not emergencies? (Round your answer to three decimal places.) (c) How many calls n would the 911 operators...
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85%...
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received three calls. (a) What is the probability that all three calls are, in fact, emergencies? (Round your answer to three decimal places.) (b) What is the probability that two or more calls are not emergencies? (Round your answer to three decimal places.) (c) How many calls n would the 911 operators...
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85%...
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received three calls. (a) What is the probability that all three calls are, in fact, emergencies? (Round your answer to three decimal places.) (b) What is the probability that two or more calls are not emergencies? (Round your answer to three decimal places.) (c) How many calls n would the 911 operators...
The number of people arriving at an emergency room follows a Poisson distribution with a rate...
The number of people arriving at an emergency room follows a Poisson distribution with a rate of 10 people per hour. a.What is the probability that exactly 7 patients will arrive during the next hour? b. What is the probability that at least 7 patients will arrive during the next hour? c. How many people do you expect to arrive in the next two hours? d. One in four patients who come to the emergency room in hospital. Calculate the...
The number of people arriving for treatment at an emergency room can be modeled by a...
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of five per hour. By using Poisson Distributions. Find: (i) What is the probability that exactly four arrivals occur during a particular hour? (ii) What is the probability that at least four people arrive during a particular hour? (iii) What is the probability that at least one person arrive during a particular minute? (iv) How many people do...
4. The emergency telephone (911) center in a large city receives an average of 132 hourly...
4. The emergency telephone (911) center in a large city receives an average of 132 hourly calls per day. On average, each call requires about 85 seconds for a 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 3 dispatchers a shift but must have an adequate number of dispatchers on duty and it has asked a...
The number of people arriving for treatment at an emergency room can be modeled by a...
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of four per hour. (a) What is the probability that exactly two arrivals occur during a particular hour? (Round your answer to three decimal places.) (b) What is the probability that at least two people arrive during a particular hour? (Round your answer to three decimal places.) (c) How many people do you expect to arrive during a...
The time between successive arrivals of calls to emergency service is random variable which follows exponential...
The time between successive arrivals of calls to emergency service is random variable which follows exponential distribution. It was observed that on average calls arrive to emergency service every four minutes (1 / λ = 4min) and average number of calls in one minute is λ = 0.25 calls/ 1 min The probability that the time between successive calls is less than 2 minutes is ______ A call just arrived to emergency service. The probability that next call will arrive...
Q2)   Consider a Poisson probability distribution with λ=4.9. Determine the following probabilities. ​a) exactly 5 occurrences...
Q2)   Consider a Poisson probability distribution with λ=4.9. Determine the following probabilities. ​a) exactly 5 occurrences ​b) more than 6 occurrences ​c) 3 or fewer occurrences Q3) Consider a Poisson probability distribution. Determine the probability of exactly six occurrences for the following conditions. ​a) λ=2.0        ​b) λ=3.0        ​c) λ=4.0 ​d) What conclusions can be made about how these probabilities change with λ​? Q4) A particular intersection in a small town is equipped with a surveillance camera. The number of traffic...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT