Problem: Consider one way of modeling a
problem. Say you have a device and in any given year, there is a 1 in 6 chance
that the device will fail. One question is, “On average, how long will it be
before such a device fails?” This sort of problem is what will be modeled and
analyzed here.
The problem
above can be modeled as follows: Roll a normal fair six-sided die. Rolling a 1
will count as “fail”. Anything else will count as “not-fail”. The random
variable we will use will be
= # of rolls required until
a 1 is rolled = “time until failure”
This is a random variable, so in each experiment (for each
device), this will produce a value. For example, if we roll , then = 5 (we count the
final roll).
Last Completed Projects
| topic title | academic level | Writer | delivered |
|---|