The average number of customers arriving at a drive-through window of a bank branch is 39...
The average number of customers arriving at a drive-through window of a bank branch is 39 per hour during lunch hours. Use X to denote the number of arrivals in a 5 minute time interval. Assume the customers arrive independently and the number of arrivals within each 5 minutes follows a Poisson distribution. Keep at least 4 decimal digits if the result has more decimal digits.
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12. The probability that exactly 1 customer arrives in a given 5 minute interval is closest to?
(B) 0.1260
13. The probability that exactly 2 customers arrive in a given 5 minute interval is closest to?
(C) 0.2048
14. The probability that no customers arrive in a given 5 minute interval is closest to?
(A) 0.0388
15. The probability that 2 or fewer customers arrive in a given 5 minute interval is closest to?
(D) 0.3696
16. The probability that 3 or more customers arrive in a given 5 minute interval is closest to?
(E) 0.6304
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The average number of customers arriving at a drive-through
window of a bank branch is 39...
Problem 15-1 Willow Brook National Bank operates a drive-up teller window that allows customers to complete...
Problem 15-1 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 24 customers per hour or 0.4 customers per minute. What is the mean or expected number of customers that will arrive in a five-minute period? λ = per five minute period Assume that the Poisson probability distribution can be used...
During lunchtime at a certain fast food restaurant, customers arrive at an average rate of 7...
During lunchtime at a certain fast food restaurant, customers arrive at an average rate of 7 customers every 5 minutes. assume a poisson distribution to find the probability that: A) exactly 12 customers arrive in a given 10 minute interval (perform this calculation using an appropriate formula, showing the setup.) b) between 5 and 10 customers (inclusive) arrive in a given 5 minute interval (show how you can answer this from the table) c) after a customer arrives, find the...
The number of customers arriving per hour at a certain automobile service facility is assumed to...
The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean λ = 6. (a) Compute the probability that more than 20 customers will arrive in a 3-hour period. (b) What is the probability that the number of customers arriving in a 2-hour period will not exceed 40? (c) What is the mean number of arrivals during a 4-hour period?
Let X be the number of customers arriving in a given minute at the drive-up window...
Let X be the number of customers arriving in a given minute at the drive-up window of a local bank, and let Y be the number who make withdrawals. Assume that X is Poisson distributed with expected value E(X) = 3, and that the conditional expectation and variance of Y given X = x are E(Y|x) = x/2 and Var(Y |x)= (x + 1)/3. (a) Find E(Y) (b) Var(Y) (c) Find E(XY). 20.
5. A shop has an average of five customers per hour (a) Assume that the time T between any two cu...
A shop has an average of five customers per hour
5. A shop has an average of five customers per hour (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y, be exponential random variables modeling the time between the ith and i+1st c What is the probability that no customer arrives in the...
3. Customers arrive at the drive-through lane of a fast food restaurant at a rate of...
3. Customers arrive at the drive-through lane of a fast food restaurant at a rate of one every 3 minutes. Use the Poisson probability distribution to answer the following (12 Marks) a. What is the expected number of customers in one hour? b. What is the probability that exactly two customers arriving at the drive-through lane in a nine-minutes interval? c. What is the probability that less than two customers arrive at the drive through lane a nine-minutes interval? d....
7:08 courses.yorkvilleu.ca 4 of 4 YORKVILLE 7. Customers arrive at the drive-through ane of a fast...
7:08 courses.yorkvilleu.ca 4 of 4 YORKVILLE 7. Customers arrive at the drive-through ane of a fast food restaurant at a rate of one every 3 minutes. Use the Poisson probability distribution to answer the following questions: (8 points) a. What is the expected number of calls in one hour? b. What is the probability that exactly two customers arriving at the drive through lane in a nine-minutes interval? c. What is the probability that less than two customers arrive at...
The number of customers arriving at a local business every 15 minutes is 3. Supposing the arrival...
The number of customers arriving at a local business every 15 minutes is 3. Supposing the arrival of customers follows a Poisson distribution, answer the following questions: What is the probability that exactly 5 people arrive in the next 15 minutes? What is the probability that at least 4 people arrive in the next 15 minutes? Probability that between 2 and 6 people arrive inclusive? Expected number to arrive in the next hour? Expected number to arrive in an 8 hour...
The number of customers that enter a bank follows a Poisson distribution with an average of...
The number of customers that enter a bank follows a Poisson distribution with an average of 30 customers per hour. What is the probability that exactly 3 customers would arrive during a 12 minute period?
Example 1 Follow National Bank FNB operates a drive-up teller window that allows customers to complete...
Example 1 Follow National Bank FNB operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings cars arrive randomly with a mean arrival rate of 24 customers per hour (0.4 per minute) What is the expected number of customers that will arrive in a 5-minute period? Delays are expected if more than 3 customers arrive during any 5-minute period. What is the probability that delays will occur? Assume that...
Let X be the number of customers arriving in a given minute at the drive-up window of a local bank, and let Y be the number who make withdrawals. Assume that X is Poisson distributed with expected value E(X) = 3, and that the conditional expectation and variance of Y given X = x are E(Y|x) = x/2 and Var(Y |x)= (x + 1)/3. (a) Find E(Y) (b) Var(Y) (c) Find E(XY). 20.
A shop has an average of five customers per hour
5. A shop has an average of five customers per hour (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y, be exponential random variables modeling the time between the ith and i+1st c What is the probability that no customer arrives in the...
3. Customers arrive at the drive-through lane of a fast food restaurant at a rate of one every 3 minutes. Use the Poisson probability distribution to answer the following (12 Marks) a. What is the expected number of customers in one hour? b. What is the probability that exactly two customers arriving at the drive-through lane in a nine-minutes interval? c. What is the probability that less than two customers arrive at the drive through lane a nine-minutes interval? d....
7:08 courses.yorkvilleu.ca 4 of 4 YORKVILLE 7. Customers arrive at the drive-through ane of a fast food restaurant at a rate of one every 3 minutes. Use the Poisson probability distribution to answer the following questions: (8 points) a. What is the expected number of calls in one hour? b. What is the probability that exactly two customers arriving at the drive through lane in a nine-minutes interval? c. What is the probability that less than two customers arrive at...
Example 1 Follow National Bank FNB operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings cars arrive randomly with a mean arrival rate of 24 customers per hour (0.4 per minute) What is the expected number of customers that will arrive in a 5-minute period? Delays are expected if more than 3 customers arrive during any 5-minute period. What is the probability that delays will occur? Assume that...
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