What is the Probability of Each Customer Getting a DVD in a Rental System?

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In summary, the conversation discussed the implementation of a new project in web development called "DVD rental". The main problem faced was finding a solution to prioritize customers who are waiting for a DVD. With 222 DVDs in stock and a demand for 300, there is a shortage of 78 DVDs. The question was how to determine the probability of each customer in the queue getting the DVD. The details of the question were unclear, but it was suggested that each customer in the queue will eventually get the DVD with certainty if they are willing to wait long enough.
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kannadasan
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We are involved in web development and we are implementing a new project named "DVD rental". The problem we face was to finding a solution for giving a priority for the customer.
It is described as,
There are certain amount of DVD in the stock(222), the demand fot that DVD is 300, so we are lagging 78 DVD's. Now the 78 people are waiting in queue to get the DVD when rented DVD returned.Here the waiting members will not be defined priorly. But we have to give the priority for each of the customer.
How to find the probability of getting the DVD by every people.

S.Kannadasn
 
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  • #2
I don't understand what you are asking. In the titel you talk about "probability", but then you ask about a "priority" and then, again, ask about a "probability". What exactly do you want to do?
 
  • #3
Yes, the question is not clear. Why isn't the answer "each of the 78 people in the queue will get the DVD with certainty (probability = 1 or 100%), if they are willing to wait long enough (which can be a very long time)"? Is the question, "what is the probability that each of the 78 people will get the DVD within X number of days"?
 
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FAQ: What is the Probability of Each Customer Getting a DVD in a Rental System?

What is probability and why is it important?

Probability is a numerical measure of how likely it is for an event to occur. It is important because it helps us make predictions, make informed decisions, and understand uncertainty in data.

How do you calculate probability?

Probability can be calculated by dividing the number of desired outcomes by the total number of possible outcomes. For example, if you roll a six-sided die, the probability of rolling a 4 is 1/6 because there is only one desired outcome (rolling a 4) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumes all outcomes are equally likely. Experimental probability is based on actual data collected from experiments or observations. It may differ from theoretical probability due to chance or other factors.

How do you find the probability of independent events?

To find the probability of two independent events occurring, you multiply their individual probabilities. For example, if you flip a coin and roll a die, the probability of getting heads and rolling a 3 is 1/2 x 1/6 = 1/12.

What is the difference between dependent and independent events?

Dependent events are influenced by previous events, while independent events are not. In other words, the outcome of one event affects the probability of the other event occurring in dependent events, but not in independent events.

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