At a local bakery, on average, 12 customers come in per hour. Using the exponential distribution, find the probability that the intervals between successive arrivals will be more than 15 minutes.
At a local bakery, on average, 12 customers come in per hour. Using the exponential distribution,...
Customers arrive at a local ATM at an average rate of 15 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. a) What is the probability that the next customer will arrive within the next 5 minutes? b) What is the probability that the next customer will arrive in more than 8 minutes? c) What is the probability that the next customer will...
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...
(EXPONENTIAL DISTRIBUTION) Customers arrive at the claims counter at the rate of 20 per hour (Poisson distributed). What is the probability that the arrival time between consecutive customers is less than five minutes? Hint: Compute P(X<5) 1-e after compute ] (3 pts.)
30 customers per hour arrive at a bank on average. These arrivals are independent. There are employees to help the customers (a) What is the probability that there are more than two customers arrivals within 10 minutes. (b) What is the probability that the next customer to arrive at the bank arrives 2 or more minutes later. Show all work
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is more than 4 minutes?
Customers are serviced at a rate of six customers per hour according to an exponential distribution. What is the probability that customer service will require fewer than 20 minutes? A. Greater than 0.70 but less than or equal to 0.80 B. Greater than 0.90 C. Less than or equal to 0.70 D. Greater than 0.80 but less than or equal to 0.90. Please show all work
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is less than 2 minutes?
customers arrive at an average of 30 per hour. A single server in the store serves customers, taking 1.5 minutes on average to serve each customer. Inter-arrival times and service times follow the exponential distribution. What is the expected fraction of time that the server will be busy? On average, how many people will there be in the store? On average, how long will someone be in the store? What is the probability that there will be more than 2...
Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?
An exponential probability distribution has lambda equal to 21 customers per hour. Find the following probabilities. a) What is the probability that the next customer will arrive within the next 3 minutes? b) What is the probability that the next customer will arrive within the next 15 seconds? c) What is the probability that the next customer will arrive within the next 12 minutes? d) What is the probability that the next customer will arrive within the next 17 minutes?