/sci/ - Science & Math » Thread #11767086

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Anonymous Sat 06 Jun 07:14:57 2020 No.11767086 View Reply Original Report

Quoted By: >>11767131 >>11767774 >>11768474

why is the mean time not the same as the half-time in the exponential distribution?

how can I understand this intuitively ?

Anonymous

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Anonymous Sat 06 Jun 2020 07:17:41 No.11767093 Report

Quoted By: >>11767097

>intuitively

Anonymous

Anonymous Sat 06 Jun 2020 07:19:20 No.11767097 Report

Quoted By:

>>11767093

every once in a while a retard like you comes along

Anonymous

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Anonymous Sat 06 Jun 2020 07:41:19 No.11767131 Report

Quoted By: >>11767320

>>11767086
Infinite x makes mean larger than half-time.

Anonymous

Anonymous Sat 06 Jun 2020 09:24:10 No.11767320 Report

Quoted By: >>11767442

>>11767131
What did you use to create that graph? tikz?

Anonymous

Anonymous Sat 06 Jun 2020 10:28:27 No.11767442 Report

Quoted By:

>>11767320
It's from wikipedia.
https://en.wikipedia.org/wiki/Exponential_distribution

Anonymous

Anonymous Sat 06 Jun 2020 13:41:00 No.11767774 Report

Quoted By:

>>11767086
Why would it be? It's a tailed distribution.

Anonymous

Anonymous Sat 06 Jun 2020 19:26:47 No.11768474 Report

Quoted By:

>>11767086
int_0^b (lambda e^(-lambda x)) dx = 1/2
int_0^(-lambda b) -e^u du = 1/2
1 - e^(-lambda b) = 1/2
e^(-lambda b) = 1/2
-lambda b = ln(1/2)
b = ln(1/2)/(-lambda) = ln(2)/lambda

while mean is 1/lambda

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