Question

The checkout time of a supermarket cashier follows an exponential distribu- tion, and the mean checkout...

The checkout time of a supermarket cashier follows an exponential distribu-
tion, and the mean checkout time is three minutes.
(a) What is the probability that a checkout time exceeds 2 minutes?
(b) If 10 of these checkout times are selected, what is the probability that
at most 3 checkout times that is less than 2 minutes?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

-Xw explt ple mine) PCX > PJ = af te 213 px pe 11370 e-213 D5134 P ( X (2) - 2 1 413 de + [ -e sel3 77 de eR/3 jo.4866 xa Bin

Add a comment
Know the answer?
Add Answer to:
The checkout time of a supermarket cashier follows an exponential distribu- tion, and the mean checkout...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A checkout counter at a supermarket completes the process according to an exponential distribution with a...

    A checkout counter at a supermarket completes the process according to an exponential distribution with a service rate of 6 per hour. A customer arrives at the checkout counter. Find the probability of the following events. a) The service is completed in fewer than 5 minutes. b) The customer leaves the counter more than 10 minutes after arriving. c) The service is completed in a time between 5 and 8 minutes.

  • 17.6-9. The Friendly Neighbor Grocery Store has a single check- out stand with a full-time cashier....

    17.6-9. The Friendly Neighbor Grocery Store has a single check- out stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 30 per hour. The service-time distribu- tion is exponential, with a mean of 1.5 minutes. This situation has resulted in occasional long lines and complaints from customers. Therefore, because there is no room for a second checkout stand. the manager is considering the alternative of hiring another person to help the cashier by...

  • The waiting time to check out of a supermarket has had a population mean of 9.17...

    The waiting time to check out of a supermarket has had a population mean of 9.17 minutes.​ Recently, in an effort to reduce the waiting​ time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers. A sample of 50 customers was​ selected, and their mean waiting time to check out was 7.31 minutes with a sample standard deviation of 4.3 minutes. At the 0.01 level of​ significance, using the​ p-value...

  • Checkout times. The checkout times in minutes) for 12 randomly selected customers at a large supermarket...

    Checkout times. The checkout times in minutes) for 12 randomly selected customers at a large supermarket during the store's busiest time are: 5.5 5.6 13.3 7.8 13.4 6.3 7.5 10.6 6.1 139 13. a. Find the mean of the checkout times (Type an integer or a decimal Round to two decimal places) b. Find the standard deviation of the checkout times mine (Type an integer or a decimal. Round to two decimal places)

  • find a) mean and b) standard deviation Checkout times. The checkout times (in minutes) for 12...

    find a) mean and b) standard deviation Checkout times. The checkout times (in minutes) for 12 randomly selected customers at a large supermarket during the store's busiest time are: 5.2 62 11.5 6.1 12.8 12.6 8.3 10.7 13.4 7.6 10.1 13.5 a. Find the mean of the checkout times. mins (Type an integer or a decimal. Round to two decimal places.)

  • The time required to assemble a part follows an exponential probability distribution with a mean of...

    The time required to assemble a part follows an exponential probability distribution with a mean of 5 minutes. What is the probability that the part can be assembled between 3 and 5 minutes? what is the probability that exactly three parts can be assembled in 10 minutes?

  • The waiting time to check out of a supermarket has had a population mean of 9.17...

    The waiting time to check out of a supermarket has had a population mean of 9.17 minutes.​ Recently, in an effort to reduce the waiting​ time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers. A sample of 50 customers was​ selected, and their mean waiting time to check out was 7.31 minutes with a sample standard deviation of 4.3 minutes. At the 0.01 level of​ significance, using the critical...

  • A certain small grocery store has a single checkout stand with a full-time cashier manning it....

    A certain small grocery store has a single checkout stand with a full-time cashier manning it. Customers arrive at the stand randomly (i.e. Poisson input process) at a mean rate of 30 per hour. When there is only one customer at the stand, he is processed by the cashier alone, with an expected service time of 1.5 minutes. However, the stock boy has been given standard instructions that whenever there is more than one customer at the stand, he is...

  • The population mean waiting time to check out of a supermarket has been known 10.73 minutes...

    The population mean waiting time to check out of a supermarket has been known 10.73 minutes with standard deviation of 5.8 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers (known as the multiple-server queuing system). A sample of 100 customers was selected randomly, and their mean waiting time to check out was 9.52 minutes. A)Is it necessary to assume...

  • a hotel, time to process a client's request follows an exponential distribution with a mean of...

    a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. c. Find the probability that a given request takes between I and 2.5 minutes to process.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT