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re: OT Math problem

Posted on 9/12/17 at 1:07 pm to
Posted by CoachDon
Louisville
Member since Sep 2014
12409 posts
Posted on 9/12/17 at 1:07 pm to
E) None of the above
Posted by msu202020
Member since Feb 2011
4142 posts
Posted on 9/12/17 at 1:16 pm to
63.4%
Posted by 50_Tiger
Dallas TX
Member since Jan 2016
40080 posts
Posted on 9/12/17 at 1:19 pm to
quote:

What are the chances of a 100-year flood happening more than once in a decade?


That was a FE question. I can't remember the distrubution or equation off the top of my head right now.

100 year interval with one flood there's 1% (1/100) chance of it happening each year.

Since there is 1% chance of it happening each year there is also a 99% chance that it does not.

Over 10 years, there is a (0.99)^10 chance of there NOT being a flood, or 0.904 -> 90.4%

Therefore, you have a 9.6% chance of there WILL be a flood.
Posted by CharlesLSU
Member since Jan 2007
31892 posts
Posted on 9/12/17 at 1:20 pm to
D

Some of the dumbest frickers I've ever met have P.E. at the end of their name....
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
101919 posts
Posted on 9/12/17 at 1:21 pm to
So, should be .096 x .096 that there will be two?

0.84% chance?
Posted by 50_Tiger
Dallas TX
Member since Jan 2016
40080 posts
Posted on 9/12/17 at 1:26 pm to
edit I fricked up and did only for one

Yes Boo, 0.096 x 0.096 = 0.009216 or 0.9% chance of 2 or more in 10 years.
This post was edited on 9/12/17 at 1:28 pm
Posted by LSUengr
Baton Rouge
Member since Sep 2005
2332 posts
Posted on 9/12/17 at 1:40 pm to
B because probability and stuff
P = 1-(1-p)^n
Posted by LordSaintly
Member since Dec 2005
38880 posts
Posted on 9/12/17 at 1:50 pm to
If I understand correctly, you want the probability that a flood happens at least once in the next 100 years.

The complementary occurrence of happening at least once is if the flood NEVER happens, so you do:

1 - (probability of never flooding in 100 years)

= 1 - (99/100)^100 = 0.6339

so 63%



ETA: Dammit Lucas
This post was edited on 9/12/17 at 1:51 pm
Posted by Steadyhands
Slightly above I-10
Member since May 2016
6792 posts
Posted on 9/12/17 at 1:50 pm to
That's on the PE? Don't you mean FE maybe? Seems way to easy for a PE test question and seems like something I remember from the FE.
Posted by TigerstuckinMS
Member since Nov 2005
33687 posts
Posted on 9/12/17 at 1:52 pm to
quote:

Discipline?

Since we're talking about floods, I'm guessing electrical. Probably telecommunications.
Posted by 50_Tiger
Dallas TX
Member since Jan 2016
40080 posts
Posted on 9/12/17 at 1:53 pm to
quote:

Since we're talking about floods, I'm guessing electrical. Probably telecommunications.



Yes it was on the FE EE Exam.

I remember using the electronic book too look it up haha.
Posted by TigerstuckinMS
Member since Nov 2005
33687 posts
Posted on 9/12/17 at 1:55 pm to
quote:

Yes it was on the FE EE Exam.

You serious? I was just being a dick.
Posted by 50_Tiger
Dallas TX
Member since Jan 2016
40080 posts
Posted on 9/12/17 at 1:58 pm to
quote:

You serious? I was just being a dick.


The new version of the FE EE at least covers all EE spectrum.

I needed to know Power, VLSI, Telecom, etc.

As well as ProblemStats, Multivariate Calc, and up to 2nd order Diff Q


Passed that bitch the first time.

Kinda mad I frigged up this math question lol.
Posted by slackster
Houston
Member since Mar 2009
84784 posts
Posted on 9/12/17 at 2:01 pm to
quote:

Yes Boo, 0.096 x 0.096 = 0.009216 or 0.9% chance of 2 or more in 10 years.


The chance of exactly 1 100-year flood in 10 years is 9.14%.

The chance of 2 or more 100-year floods in 10 years is .43%. It's a binomial distribution. You cannot simply square the chances of 1 100-year flood in 10 years to get the chances of 2 100-year floods in 10 years.
Posted by 50_Tiger
Dallas TX
Member since Jan 2016
40080 posts
Posted on 9/12/17 at 2:06 pm to
quote:

The chance of exactly 1 100-year flood in 10 years is 9.14%.

The chance of 2 or more 100-year floods in 10 years is .43%. It's a binomial distribution. You cannot simply square the chances of 1 100-year flood in 10 years to get the chances of 2 100-year floods in 10 years.


I hate you slack, im reading distributions at work




n = 10

X = 2

45 * p^(x) * q^(n-X)

p(x) is the probability of success = 2% or 0.02 (2/100)
q(x) is the probability of failure = 98% or 0.98 (98/100)

p^(X) = 0.02^2 = 0.0004

q^(n-X) = 0.98^(8) = 0.850

45 * 0.0004 * 0.850 = 0.0153

Edit: im friggin up somewhere.
This post was edited on 9/12/17 at 2:18 pm
Posted by tigeraddict
Baton Rouge
Member since Mar 2007
11803 posts
Posted on 9/12/17 at 2:15 pm to
FEMA

there is a 26% chance that a 100 year flood will occur over the duration of a 30 year mortgage.

which is:

(99/100)^30 = .7397 or 74.0% not to happen so

100-74 = 26% to happen

EDIT:

formula is (for flood not to happen):

(99/100)^100 = .366 or 36.6%

therefore 100-36.6 - 63.4% to happen

EDIT: (for 500 year flood)

(499/500)^30 = 94.1% chance not to happen or 5.8% chance to flood over a 30 year mortgage

so those in flood zone X have a 5.8% chance (if right at the 500 year contour line) all the way to just under 26% chance in right up against the 100 year contour, to flood over the course of 30 year mortgage
This post was edited on 9/12/17 at 2:21 pm
Posted by Ingeniero
Baton Rouge
Member since Dec 2013
18273 posts
Posted on 9/12/17 at 2:25 pm to
Yeah it's B. CERM eq. 20.20.
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
101919 posts
Posted on 9/12/17 at 2:36 pm to
I haven't had to do this sort of math in... 20ish years. Amazing how fast I forget it.
Posted by NYNolaguy1
Member since May 2011
20886 posts
Posted on 9/12/17 at 2:56 pm to
quote:

That's on the PE? Don't you mean FE maybe? Seems way to easy for a PE test question and seems like something I remember from the FE.


It was an example problem for the hydrology section (breadth) for a book I am going through.

FWIW, the breadth portion of the PE is very similar to the afternoon portion of the FE.
Posted by slackster
Houston
Member since Mar 2009
84784 posts
Posted on 9/12/17 at 2:57 pm to
quote:

Edit: im friggin up somewhere.


The probability of success is still 1%, not 2%.

The rest of the math is correct, and you'll get .415% chance of 2 100-year floods in a 10 year stretch. The .43% comes form the possibility that there are 2 or more 100 year floods in a 10-year stretch.
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