Is λ Equal to 0.01 or 100 for a Light Bulb with 100 Hour Life Expectancy?

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Homework Help Overview

The discussion revolves around the interpretation of the parameter λ in the context of a light bulb's life expectancy modeled as a random exponential variable, specifically questioning whether λ should be 0.01 or 100 based on an average life expectancy of 100 hours.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to clarify the relationship between life expectancy and the parameter λ, expressing uncertainty about its correct value. Some participants question the need for additional work or reasoning to support the inquiry.

Discussion Status

The discussion is ongoing with participants exploring the definitions and implications of λ in relation to the given average life expectancy. Some guidance has been offered regarding the calculation of λ, but there is no explicit consensus on the interpretation of the parameter.

Contextual Notes

There appears to be a misunderstanding regarding the expectations for showing work, as the original poster indicates that their question is more about conceptual clarity than problem-solving steps.

peripatein
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Hi,

Homework Statement


If the life expectancy of a light bulb is a random exponential variable and equal (on average) to 100 hrs, is λ then equal to 0.01 or to 100? (λ = 1/expectation)
 
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Hi,peripatein, you're supposed to show us your work. What have you done/tried so far?
 
There is no work involved. I wasn't asking for help to solve anything; this merely regards an uncertainty I have concerning λ. I am simply not sure whether it should be 1/100 or 100, given the above details. I am not really sure what work you are asking me to show.
 
You seem to have answered your own question: expectation = 100hrs, λ = 1/expectation.
 

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