Question 3: The number of cars arrive at a gas station follows a Poisson distribution with a rate of 10 cars per hour.
Question 3: The number of cars arrive at a gas station follows a Poisson distribution with...
Question 2: A company generally purchases large lots of a certain type of laptop computers. A method is used that rejects a lot if more than 2 defective laptops are found in a lot. Past experience shows that 10% laptops are defective. What is the probability of rejecting a lot of 20 units? What is the probability that in a batch of 20 laptops between 3 and 5 (inclusive) laptops are defective? On the average how many defective laptops are...
Poisson The number of cars arriving at a given intersection follows a distribution with a mean rate of 1 per second. What is the probability that no cars arrive within a 3-second interval? (A) 1/e3 (B) 2/e3 (C)3/e3 (D) 4/e3 (E) None of these
race cars arrive to a carwash according to a Poisson distribution with a mean of 5 cars per hour. a. What is the expected number of cars arriving in 2 hours?m b. What is the probability of 6 or less cars arriving in 2 hours? c. What is the probability of 9 or more cars arriving in 2 hours
1. A gas station opens at a time which is Normally distributed with the mean of 8:45 am and standard deviation of 10 minutes; similarly, its closing time is Normally distributed with the mean value at 5:12 pm and standard deviation of 15 minutes. If customers arrive as a Poisson Process with an average rate of 11.3 per hour, find the mean number of customers to be served in one such day, and the corresponding standard deviation. What is the...
175-5.* A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a mean rate of 15 per hour. However, if the pump already is heing used, these po- tential customers may balk (drive on to another service station). In particular, if there are n cars already at the service station, the prob- ability that an arriving potential customer will balk is n/3 for n 1. 2, 3. The time required to service a...
7.1. Cars arrive to a toll booth 24 hours per day according to a Poisson process with a mean rate of 15 per hour. (a) What is the expected number of cars that will arrive to the booth between 1:00 p.m. and 1:30 p.m.? (b) What is the expected length of time between two consecutively arriving cars! (c) It is now 1:12 p.m. and a car has just arrived. What is the expected number of cars that will arrive between...
Q2. Assume that the number of taxis that arrive at a busy intersection follows a Poisson distribution with a mean of 6 taxis per hour. Let X denote the time between arrivals of taxis at the intersection. (a) What is the mean of X? (b) What is the probability that you wait longer than one hour for a taxi? (c) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives...
2. Suppose that car's arrive at Burger King's drive-through at the rate of 20 cars every hour between 12:00 noon and 1:00 pm. A random sample of 40 one-hour time periods between 12:00 noon and 1:00pm is selected and has 22.1 as the mean number of cars arriving. a) Why is the sampling distribution of x approximately normal? b) What is the mean and standard deviation of the sampling distribution of x assuming that y = 20 and o =...
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?
The number of cars that arrive at a bank’s drive-through window between 4:00 pm and 7:00 pm on a Friday follows a Poisson process at the rate of 0.42 car every minute. Compute the probability that the number of cars that arrive at the bank between 5:25 pm and 5:35 pm is at most 5 cars.