Question

Incoming phone calls at a radio station occur at a Poisson rate of \lambda = 8...

Incoming phone calls at a radio station occur at a Poisson rate of \lambda = 8 per hour. Find the median in minutes for the time between incoming phone calls.  

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An automatic phone station receives 300 calls in an hour. Use Poisson distribution to find the...
An automatic phone station receives 300 calls in an hour. Use Poisson distribution to find the probability of receiving exactly two calls in a given minute. Compare your answer with the result that one can obtain by using the binomial distribution.
The number of incoming calls at a telephone exchange is modeled using a Poisson distribution with...
The number of incoming calls at a telephone exchange is modeled using a Poisson distribution with mean lambda= 2 per minute a What is the probability of having five or less calls in a 3 min interval b Show that given that there were in calls during the first t minutes the number of calls during the first S<t minutes follows a binomial with parameters n and s/t
Suppose that phone calls arrive at a switchboard according to a Poisson Process at a rate...
Suppose that phone calls arrive at a switchboard according to a Poisson Process at a rate of 2 calls per minute. (d)What is the probability that the next call comes in 30 seconds and the second call comes at least 45 seconds after that? (e) Let T4 be the time between 1st and 5th calls. What is the distribution of T4? (f) What is the probability that the time between 1st and 5th call is longer than 5 minutes? Please...
One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a...
One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analysts generally believe that random phone calls are Poisson distributed. Suppose phone calls to a switchboard arrive at an average rate of 2.2 calls per minute. (Round to 4 decimal places) a. If an operator wants to take a one-minute break, what is the probability that there will be no calls during a one-minute interval? b. If an operator can handle at...
If the number of arrivals in a cell phone shop follows a Poisson distribution, with a...
If the number of arrivals in a cell phone shop follows a Poisson distribution, with a reason of 10 clients per hour: What is the probability that in the next half hour, 4 clients arrive? What is the probability that in the next two hours, between 18 and 22 clients arrive? What is the average time between arrivals? What is the median of the time between arrivals? What is the probability that the time that transpires for the next arrival...
4. Phone calls arrive at the rate of 48 per hour at the reservation desk for...
4. Phone calls arrive at the rate of 48 per hour at the reservation desk for Varig Airlines. a. Find the probability of receiving three calls in a five-minute interval time. b. Find the probability of receiving exactly 10 calls in 15 minutes. c. Suppose no calls are currently on hold. If the agent takes five minutes to complete the current call, how many callers do you expect to be waiting by that time? What is the probability that none...
Phone calls arrive at the rate of 24 per hour at the reservation desk for Regional...
Phone calls arrive at the rate of 24 per hour at the reservation desk for Regional Airways. a. Compute the probability of receiving two calls in a 10-minute interval of time.   (to 4 decimals) b. Compute the probability of receiving exactly 12 calls in 15 minutes.   (to 4 decimals) c. Suppose no calls are currently on hold. If the agent takes 5 minutes to complete the current call, how many callers do you expect to be waiting by that time?...
Pls answer!!!!!! Company ABC wants to hire seasonal workers to answer phone calls. Suppose that calls...
Pls answer!!!!!! Company ABC wants to hire seasonal workers to answer phone calls. Suppose that calls to the phone center occur at a rate of 60 per hour and follow a Poisson distribution and each staff can answer an average of 5 calls per hour that follows exponential distribution. Right now, 10 workers are working at the phone center and when all the lines are busy, the phone system can keep 5 additional calls on hold. What is the queuing...
2. A radio station wants to control the time allotted to unpaid public service commercials. If...
2. A radio station wants to control the time allotted to unpaid public service commercials. If there are too many such commercials, the station loses revenue; if there are too few, the station loses points with the Federal Communications Commission. The target figure is 1.2 commercial minutes per hour. Data on the minutes spent by the radio station on unpaid public service commercials were collected for a random sample of 24 hours of broadcasting. The results show a sample mean...
2. Telephone calls arriving at a particular switchboard follow a Poisson process with an average of...
2. Telephone calls arriving at a particular switchboard follow a Poisson process with an average of 5 calls coming per minute. (a) Find the probability that more than two minutes will elapse until 2 calls have come in to the switchboard. (b) What is the average time between any 2 successive calls coming in to the switch- board?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT