Question

Q1.(15) At one call center, assume the probability of receiving one phone call in a given...

Q1.(15) At one call center, assume the probability of receiving one phone call in a given time period is the same, and the numbers of phone calls in one time period is independent from others. It is known that the average number of phone calls in any one hour is 10. One hour period is randomly selected.
1.(5) Find the probability that exactly 11 phone calls will be received.
2.(5) Find the probability that at most 8 phone calls will be received.
3.(5) Find the probability that the number of phone calls will be greater than the mean number of phone calls (in one hour).

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
Q1.(15) At one call center, assume the probability of receiving one phone call in a given...
Q1.(15) At one call center, assume the probability of receiving one phone call in a given time period is the same, and the numbers of phone calls in one time period is independent from others. It is known that the average number of phone calls in any one hour is 10. One hour period is randomly selected. 1.(5) Find the probability that exactly 11 phone calls will be received. 2.(5) Find the probability that at most 8 phone calls will...
If a phone call is received once every 10 minutes on average, during a one-hour interval,...
If a phone call is received once every 10 minutes on average, during a one-hour interval, 1) The probability that exactly one phone call is received during the first 30 minutes and exactly two calls in the last 30 minutes 2) The expected value of the distribution of the time of the arrival of the first call 3) The probability that the second phone call is received between 30-40 minutes 4) The probability that the third phone call is received...
On average ten phone calls arrive at a customer service call center per minute during a...
On average ten phone calls arrive at a customer service call center per minute during a specified time of day. Assume all calls happen independently of each other. In any given minute, determine the probability that the call center receives exactly eight phone calls that minute. (to 4 decimals)
The number of telephone calls per unit of time made to a call center is often...
The number of telephone calls per unit of time made to a call center is often modeled as a Poisson random variable. Historical data suggest that on the average 15 calls per hour are received by the call center of a company. What is the probability that the time between two consecutive calls is longer than 8 minutes? Write all probability values as numbers between 0 and 1.
at call center, calls come in at an average rate of four calls per minute. Assume...
at call center, calls come in at an average rate of four calls per minute. Assume that the time elapsed from one call to the next has the exponential distribution, and that the times between calls are independent. a. find the prob. that after a call is received, the next call occurs in less than 10 sec. b. Find a 95% confidence interval for the number of calls in a minute.
Suppose the number of phone calls made by the customers of a particular phone company in...
Suppose the number of phone calls made by the customers of a particular phone company in one hour is the random variable ? ~ ???????(?), where ? > ? is known. Let ?? be the length of the ? ?? phone call, for ? = ?, ?, ⋯ , ?. Assume the ?? ′? are independent of each other, and also independent of ?. Also assume that ?? ~ ???????????(?), for all ?, where ? > ? is known. Define...
1) A COVID-19 information hot line receiving 60 phone calls per 15 minutes on average. a....
1) A COVID-19 information hot line receiving 60 phone calls per 15 minutes on average. a. Find probability that there is no phone calls in a period of 2 minutes (minimum time needed to run to washroom). b. Find probability that there exactly 20 calls in a period of 5 minutes. 2) Assume that the length (in days) of incubation period of the COVID-19 is approximated normal with mean 5.1 days and standard deviation 3.11 days. a. When a person...
On the average, there is one new customer calling in to a call center every 20...
On the average, there is one new customer calling in to a call center every 20 minutes. Assume the number of calls follows the Poisson process. (a) What is the probability that in the next 40 minutes, exactly 3 new customers will call? (b) What is the probability that there are no calls in the next hour?
A​ toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to...
A​ toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to register complaints about a product purchased from your company. Past history indicates that an average of 0.3 calls are received per minute. Complete parts​ (a) through​ (d). a. What properties must be true about the situation described here in order to use the Poisson distribution to calculate probabilities concerning the number of phone calls received in a? 1-minute period? Select all the assumptions for...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT