Question

At the Fidelity Credit Union, a mean of 44 customers arrive hourly at the drive-through window....

At the Fidelity Credit Union, a mean of 44 customers arrive hourly at the drive-through window. What is the probability that, in any hour, less than 11 customer will arrive? Round your answer to four decimal places.

Homework Answers

Answer #1

Let X is a random variable shows the number of cusotmer arrive in 1 hour. Here X has Poisson distribution with parameter . The probability that, in any hour, less than 11 customer will arrive is

Answer: 0.0000

-------------------------------

Note: I think 4 and 1 repeated in question. If that is the case then following is the solution:

Let X is a random variable shows the number of cusotmer arrive in 1 hour. Here X has Poisson distribution with parameter . The probability that, in any hour, less than 1 customer will arrive is

Answer: 0.0183

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
At the Fidelity Credit Union, a mean of 4.4 4.4 customers arrive hourly at the drive-through...
At the Fidelity Credit Union, a mean of 4.4 4.4 customers arrive hourly at the drive-through window. What is the probability that, in any hour, exactly 3 3 customers will arrive? Round your answer to four decimal places.
1. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank...
1. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 6 customers per hour or 0.1 customers per minute. Also assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 54 customers per hour, or 0.9 customers per minute. Determine the...
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions...
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6...
Problem 15-3 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to...
Problem 15-3 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 18 customers per hour or 0.3 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 30 customers per...
ANSWER THE FOUR PARTS OR DON'T ANSWER AT ALL. Mixed Poisson/exponential Customers arrive at the drive-up...
ANSWER THE FOUR PARTS OR DON'T ANSWER AT ALL. Mixed Poisson/exponential Customers arrive at the drive-up window of a fast-food restaurant at a rate of 2 per minute during the lunch hour (12-1pm). a. What is the probability that exactly 3 customers will arrive in 1 minute? 1 customer will arrive in 5 minutes? b. What is the probability that no customers will arrive in 2 minutes? c. Given a customer has just arrived, what is the probability that the...
A Security Pacific Bank branch has opened up a drive through teller window. There is a...
A Security Pacific Bank branch has opened up a drive through teller window. There is a single service lane, and customers in their cars line up in a single line to complete bank transactions. The average time for each transaction to go through the teller window is exactly four minutes. Throughout the day, customers arrive independently and largely at random at an average rate of ten customers per hour. What is the probability that a customer gets to complete his/her...
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions...
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute. Also assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute. Determine the probabilities...
Problem 11-04 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to...
Problem 11-04 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute. Also assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute....
partial credit, 7.2.40 A study found that the mean amount of time cars spent in​ drive-throughs...
partial credit, 7.2.40 A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 139.9 seconds. Assuming​ drive-through times are normally distributed with a standard deviation of 31 ​seconds, complete parts​ (a) through​ (d) below. Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... ​(a) What is the probability that a randomly selected car will get through...
a union of restaurant and food service workers would like to estimate this year's mean hourly...
a union of restaurant and food service workers would like to estimate this year's mean hourly wage meu for Food Service workers in the US. last year's meu hourly wage was $8.16 and there is reason to believe that this year's value is greater than last year's. the Union decides to do a statistical test to see if it can be concluded that the men has increased. the union choose a random sample of 50 wages from this year. suppose...