Expected value of random variables

asked 2019-01-10 21:33:00 +0200

anonymous user


I'm new to SAGE and just getting my feet wet. Would greatly appreciate if someone could point me to how to calculate the following using SAGE:

Say I have an event drawn from a Poisson distribution that happens on average once a year. I'd like to define a random variable and then calculate the following:

  1. Probability the event will occur after 1 month (1/12th of a year)

  2. Probability the event will not occur for 2 years but will occur during the third year.

I've searched unsuccessfully for how to do this and would greatly appreciate any help.

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Is it homework ? Before trying to solve such a problem with Sage, how would you have solved it by hand ?

tmonteil gravatar imagetmonteil ( 2019-01-11 01:03:21 +0200 )edit

It’s not homework. I created the toy problem myself and can easily solve it by hand using the poisson equation (and it’s clear to me how to write code to do that in SAGE). I was just under the impression that there’s some library that will do all this for you in SAGE but maybe I’m wrong? Just want to reiterate this is a toy problem that I made to illustrate my question, which was mostly about SAGE’s built in support for reasoning with random variables.

kyesledge gravatar imagekyesledge ( 2019-01-11 02:12:55 +0200 )edit

Please then provide code that declares the distribution. Or just describe the model, the distribution exactly (in mathematical terms). There is a way from "Say I have an event drawn from a Poisson distribution that happens on average once a year" to a declared distribution of a random variable.

dan_fulea gravatar imagedan_fulea ( 2019-01-25 19:39:10 +0200 )edit