Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? Round your answer to four decimal places. P0 = ______ What is the probability that one customer is receiving a haircut and no one is waiting? Round your answer to four decimal places. P1 = ______ What is the probability that one customer is receiving a haircut and one customer is waiting? Round your answer to four decimal places. P2 = ______
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:
- What is the probability that no units are in the system? Round your answer to four decimal places.
P0 = ______ - What is the probability that one customer is receiving a haircut and no one is waiting? Round your answer to four decimal places.
P1 = ______ - What is the probability that one customer is receiving a haircut and one customer is waiting? Round your answer to four decimal places.
P2 = ______ - What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places.
P3 = ______ - What is the probability that more than two customers are waiting? Round your answer to four decimal places.
P(More than 2 waiting) = _______ - What is the average time a customer waits for service? Round your answer to four decimal places.
Wq = ______ minutes
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