Probability question on bank customers

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Homework Help Overview

The discussion revolves around a probability question concerning the expected number of bank customers arriving over a specified time period, specifically focusing on a scenario where the probability of a customer arriving per minute is given as 0.9.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore how to interpret the probability of customer arrivals, questioning whether the arrival of customers in one minute affects subsequent minutes. There is also a discussion on the expected number of arrivals over a longer duration based on the given probability.

Discussion Status

The conversation includes various perspectives on the problem, with some participants offering interpretations and calculations based on the probability provided. There is an acknowledgment of the need to clarify the underlying concepts of probability and its implications for the scenario presented.

Contextual Notes

Participants are considering the implications of the probability value and how it relates to the expected outcomes over multiple minutes, while also reflecting on the nature of probability itself.

aaa59
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The probability of a customer arriving in a bank per minute is 0.9. How many customers will arrive in 10 minutes?

Thanks
Ashish
 
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What are your thoughts on how to approach this question? Does the probability of a customer arriving in the first minute affect the probability of a customer arriving in the second minute? What is this property called, and how does it help guide you to the answer here?
 
I have absolutely no idea
 
I would say that in 1 minute there is a 90% chance that a customer may arrive, so in 10 minutes the number of customers I would expect is 9.
 
Correct. On average...
 
thanks
 
Think about what a probability is. Then think about how the probability of 0.9 was determined. At that point the answer is obvious.
 

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