Question

Telephone calls arrive at an exchange at an average rate of one per second. Find the...

Telephone calls arrive at an exchange at an average rate of one per second. Find the probabilities of the following events, explaining briefly your assumptions.

(a) No call arrives during the first second.


(b) Between 2 and 4 calls arriving in a given 5 second period.

(c) Assume that the call center can answer one call in each 1 second period. Find approximately the probability that the call center answers at least 90 calls during the first 100 seconds.

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
Telephone calls arrive at a 911 call center at the rate of 12 calls per hour....
Telephone calls arrive at a 911 call center at the rate of 12 calls per hour. What is the mean number of calls the center expects to receive in 30 minutes? What is the standard deviation of the number of calls the center expects to receive in 30 minutes? (Round your answer to two decimal places.) Find the probability that no calls come in for 30 minutes. (Round your answer to five decimal places.)
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...
A telephone switchboard handles on the average 4 calls per minute. If the calls follow a...
A telephone switchboard handles on the average 4 calls per minute. If the calls follow a Poisson distribution, what is the probability of: (a) exactly 8 calls per minute, more than 10 calls per minute? (b) a call comes in with the next 30 seconds? (c) assuming no call comes in during a 30 second period, what is the probability that a call comes in the following 30 seconds? (d) Using the Central Limit Theorem, how many calls can we...
7.34 At one signalized intersection approach, 20 vehicles, on average, arrive during the 30-second effective green...
7.34 At one signalized intersection approach, 20 vehicles, on average, arrive during the 30-second effective green time. During the rest of the cycle, 45 vehicles, on average, arrive at the intersection from this approach. The cycle length is 90 seconds. What is the proportion of vehicles arriving on green for this approach?
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...
Three women A, B and C share an office with one telephone. Calls for this office...
Three women A, B and C share an office with one telephone. Calls for this office arrive at random during working hours in the ratios 3,2,1 for A, B and C respectively. Because of the nature of their work the three women leave the office independently at random times, so that A is absent 1/5 of her working hours and B and C are each absent 1/4 of their working hours. On occasions where the telephone rings during office hours...
At an urgent care facility, patients arrive at an average rate of one patient every five...
At an urgent care facility, patients arrive at an average rate of one patient every five minutes. Assume that the duration between arrivals is exponentially distributed. (Round your answers to four decimal places.) a. Find the probability that the time between two successive visits to the urgent care facility is less than four minutes. b. Find the probability that the time between two successive visits to the urgent care facility is more than 16 minutes. c. If 10 minutes have...
In a shop, the average rate at which customers arrive λ (lambda) per hour = 10...
In a shop, the average rate at which customers arrive λ (lambda) per hour = 10 customers. The average rate at which customers are served µ (mu) = 12 customers served per hour. Could a waiting line form? a. Yes, because there is variability in both arrival and service rates b. No, because the average service rate is higher than the average customer arrival rate c. No - because customers come in precisely @10 per hour Store A purchases cases...
A.) For this problem, carry at least four digits after the decimal in your calculations. Answers...
A.) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p? will be within a distance of...
A.) For this problem, carry at least four digits after the decimal in your calculations. Answers...
A.) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT