Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, no more than 4 cars will enter the car wash? Round your answer to four decimal places.
TOPIC: Application of Poisson distribution to find the required probability.
Cars enter a car wash ata mean rate of 4 cars per half an hour. What is the probability that, in any hour, at least 3 cars will enter the car wash? Round your answer to four decimal places. Answer How to enter your answer Tables Keypad Keyboard Shortcuts Submit Answer LENG 9:28 AM 7/31/2020
Cars arrive at a car wash randomly and independently; the probability of arrivalis the same for any two time intervals of equal length. The mean arrival rate is 15 cars per hour. (EXCEL) (a) What is the probability that 20 or more cars will arrive during any given hour of operation? (b) What is the mean time between arrivals? Why?
Star Car Wash estimates that dirty cars arrive at the rate of 15 per hour all day and at the wash line, the cars can be cleaned at the rate of one every 4 minutes. One car at a time is cleaned in this example of a single-channel waiting line. Assuming Poisson arrivals and exponential service times, find the: (a) average time a car spends in the service system. (b) average number of cars in line. (c) average time a...
Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 39.3 and 2.9 mpg, respectively. [You may find it useful to reference the z table.] a. What is the probability that a randomly selected passenger car gets more than 40 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) Probability:________________ b. What is the probability that the average mpg of four randomly selected passenger...
Clients enter a tax preparer's office at an average rate of 9 per hour. They enter randomly and independently of one another Express your answers to four decimal places. Express the probabilities as decimal fractions- not as percentages a. What is the probability that exactly 7 clients will enter the office in the next half hour? b. What is the probability that at least one client enters the office in the next half hour? c. What is the mean of...
Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 35.7 and 4.9 mpg, respectively. [You may find it useful to reference the z table.] a. What is the probability that a randomly selected passenger car gets more than 36 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) b. What is the probability that the average mpg of four randomly selected passenger cars...
Cars arrive at a car wash at the rate of 18 cars per hour. Assume that cars arrive independently and the probability of an arrival is the same for any two time intervals of equal length. (2 pts.) Compute the probability of at least three arrivals in a 5-minute period. (2 pts.) Compute the probability of at most two arrivals in a 10-minute period.
#22 Suppose cars pass an intersection at a rate of 120 per hour. What is the probability that we need to wait between 25 and 30 seconds for the next car to pass? Please round your answer to 4 decimal places. Expert Answer
A car wash has one automatic car wash machine. Cars arrive according to a Poisson process at an average rate of 5 every 30 minutes. The car wash machine can serve customers according to a Poisson distribution with a mean of 0.25 cars per minute. What is the probability that there is no car waiting to be served?
A store has a car wash facility for cleaning service. The arrival rate of cars is 15 per hour. The average service time is 3 minutes. Assume that the cars arrive in a poisson process and the service time distribution is exponential. There is only one facility providing service, and the parking space is only enough for two cars. If there is no car, the arrival car will enter this store. If there is one car in the parking space,...