Cars enter a car wash at a mean rate of 2 cars per half an hour....

Cars enter a car wash at a mean rate of 2 cars per half an hour. What is the probability that, in any hour, exactly 5 cars will enter the car wash? Round your answer to four decimal places.

Expert Solution

orchestra answered 1 year ago

Historically, the number of cars arriving per hour at Lundberg’s Car Wash is observed to be...

Historically, the number of cars arriving per hour at Lundberg’s Car Wash is observed to be the following: Number of Cars Arriving Frequency 4 10 5 30 6 50 7 65 8 45 Total: 200 a. Set up a probability distribution table (including the lower end of the probability range) for the car arrivals. b. Simulate 25 hours of car arrivals. What is the average number of arrivals per hour? c. Repeat part b multiple times (by pressing F9). Over...

The owner of a car wash wants to see if the arrival rate of cars follows...

The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies: Number of Cars Arriving in a 10-Minute Interval Frequency 0 3 1 10 2 15 3 23 4 30 5 24 6 20 7 13 8 8 9 or more 4 150 The calculated value...

On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of...

On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen minute interval. Using the Poisson distribution, the probability that five cars will arrive during the next five minute interval is _____________.

From historical data, Harry’s Car Wash estimates that dirty cars arrive at the rate of 10...

From historical data, Harry’s Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 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 average number of cars inline. average time a car waits before it is...

Cars arrive at a parking lot at a rate of 20 per hour. Assume that a...

Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model is appropriate. Answer the following questions. No derivations are needed but justification of your answers are necessary. What assumptions are necessary to model the arrival of cars as a Poisson process? What is the expected number of cars that arrive between 10:00 a.m and 11:45 a. m? Suppose you walk into the parking lot at 10:15 a.m.; how long, on average,...

An attendant at a car wash is paid according to the number of cars that pass...

An attendant at a car wash is paid according to the number of cars that pass through. Suppose the probabilities are 1/12, 1/12, 1/4, 1/4, 1/6, and 1/6, respectively, that the attendant receives $7, $9, $11, $13, $15, or $17 between 4:00 P.M. and 5:00 P.M. on any sunny Friday. a) What is the probability that the attendant receives more than 15 dollars in this period? b) What is the probability that attendant receives less than 10 dollars in this...

4. Customers enter a store at a rate of 3 customers per hour. a) Compute the...

4. Customers enter a store at a rate of 3 customers per hour. a) Compute the probability that at least two, but no more than five customers enter the store in a given hour. b) Compute the probability that it takes more than 30 minutes for the first customer to enter the store this hour. c) Suppose you know that exactly 1 customer entered the store during a given hour. Compute the probability that the customer entered the store between...

Customers enter the camera department of a store at an average rate of five per hour....

Customers enter the camera department of a store at an average rate of five per hour. The department is staffed by one employee, who takes an average of 8.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. (Use the Excel spreadsheet Queue Models.) a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.) a-2....

Customers enter the camera department of a store at the average rate of eight per hour....

Customers enter the camera department of a store at the average rate of eight per hour. The department is staffed by one employee, who takes an average of 3.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 10.9. a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.) a-2. How long would...

You want to know the mean number of customers that enter a store per hour. Using...

You want to know the mean number of customers that enter a store per hour. Using data collected over the last month, we have * a 90% confidence interval (C.I.) for the population mean is (17.11, 24.75) * a 99% C.I. of (14.95, 26.91) * a 95% C.I. of (16.38,25.48) For a hypothesis test of H0: μ = 25, in what range will the P value be? Explain. Just use the CI’s to determine the range p-value should be in.

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