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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: khalil on August 14, 2009, 03:36:51 pm

Title: normal distribution
Post by: khalil on August 14, 2009, 03:36:51 pm
Need help please

The weight of cats is evenly distributed. It is known that 10% of cats weigh more than 1.8kg, and 15%of cats weigh less than 1.35kg. Find the mean and s.d of this distribution
Title: Re: normal distribution
Post by: kamil9876 on August 14, 2009, 05:15:44 pm
Drawing a normal distribution curve, you can see that the mean, which I will denote as M, is in between 1.8 and 1.35. I will call d the standard distribution.



90% of cats wiegh weight less than 1.8kg. Hence find the z value that corresponds to 90%, call this :

  (1)

15% of cats wiegh less than 1.35. Find the z value that corresponts to 15%, call this :

   (2)


Notice taht once you find and you have an equation with two unkowns to solve for (M and d). Hence you should be able to find these values.
Title: Re: normal distribution
Post by: khalil on August 14, 2009, 05:21:48 pm
Do you mean to make z1=z2 and solve? I did that and got a false solution. What do i do with tthe percentages?
Title: Re: normal distribution
Post by: kamil9876 on August 14, 2009, 06:02:49 pm
no you do not do that. The z1 and z2 are determined by the percentages, because the percentages (probabilities really) are different the z1 adn z2 msut be different.

I don't know how you kids are taught to do it but basically it's solving for a z1 and z2 such that Pr(z<z1)=0.9. Pr(z<z1)=0.15. (There's a table that can convert this for you but I'm guessing that with fancy calculators you can do this much simpler).

I hope someone here can help on this one because I forgot how to use the technology as I only concern myself with pure mathematics these days.
Title: Re: normal distribution
Post by: khalil on August 14, 2009, 07:07:00 pm
kids? how old are you?
Title: Re: normal distribution
Post by: kamil9876 on August 14, 2009, 07:39:00 pm
kids? how old are you?

Not much older, was just referring to how year 12 feels like ages away and a completely different world(especially when it comes to using graphics calculator and trivial information).
Title: Re: normal distribution
Post by: TrueTears on August 14, 2009, 07:43:19 pm
kamil9876 is a grown up man and is already supporting a family of 5.

As for the question, Z1 and Z2 like kamil said are determined by the %, you need to equate the values you have on your normal distribution curve with the values that produce the same area from the STANDARD normal distribution curve. The inverse normal function in stats list editor can do this.
Title: Re: normal distribution
Post by: khalil on August 14, 2009, 09:16:08 pm
kamil9876 is a grown up man and is already supporting a family of 5.

As for the question, Z1 and Z2 like kamil said are determined by the %, you need to equate the values you have on your normal distribution curve with the values that produce the same area from the STANDARD normal distribution curve. The inverse normal function in stats list editor can do this.

WOH WOH. wait a second. Before kamil changed his pic, wasnt it a girl before? I remember vividly. It was of these two girls and had caption 'me n my friend'
Title: Re: normal distribution
Post by: TonyHem on August 14, 2009, 09:20:01 pm
kamil9876 is a grown up man and is already supporting a family of 5.

As for the question, Z1 and Z2 like kamil said are determined by the %, you need to equate the values you have on your normal distribution curve with the values that produce the same area from the STANDARD normal distribution curve. The inverse normal function in stats list editor can do this.

WOW WOW. wait a second. Before kamil changed his pic, wasnt it a girl before? I remember vividly. It was of these two girls and had caption 'me n my friend'

rofl
Title: Re: normal distribution
Post by: khalil on August 14, 2009, 09:20:22 pm
Also, can I just add, if TT is, in fact, a girl, then why, on Kamil's signiture, does it say that 'HIS thirst for karma increases exponentially'?

I probably sound like an investigator, and I couldnt care less if you were a boy or girl, but i'm just intrigued
Title: Re: normal distribution
Post by: kurrymuncher on August 14, 2009, 09:23:16 pm
*facepalm*
Title: Re: normal distribution
Post by: TrueTears on August 14, 2009, 09:24:11 pm
Dude ofcourse I'm a girl, after all I do go to Scotch, an all girl's school
Title: Re: normal distribution
Post by: khalil on August 14, 2009, 09:40:36 pm
Girls don't say dude :)
Title: Re: normal distribution
Post by: kamil9876 on August 14, 2009, 09:50:02 pm
Girls don't say dude :)

Maybe in certain kinds of movies they don't, but exposure to them in reality may reveal otherwise.
Title: Re: normal distribution
Post by: kurrymuncher on August 14, 2009, 09:52:38 pm
Girls don't say dude :)

Maybe in certain kinds of movies they don't, but exposure to them in reality may reveal otherwise.

quote of the century!!!!!!!!!!!
Title: Re: normal distribution
Post by: Over9000 on August 14, 2009, 09:57:24 pm
I can guarantee TT is as much of a girl as I am good at Italian (take that how u wish).

I.e |TT=girl| = |my skills at Italian|
Title: Re: normal distribution
Post by: xXNovaxX on August 15, 2009, 06:42:17 pm
Dude ofcourse I'm a girl, after all I do go to Scotch, an all girl's school
ROFL. check-mate