       Re: A problem with solving some nonlinear system

• To: mathgroup at smc.vnet.net
• Subject: [mg87300] Re: A problem with solving some nonlinear system
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Mon, 7 Apr 2008 05:15:56 -0400 (EDT)
• References: <fta9n1\$eav\$1@smc.vnet.net>

```Hi,

we all like to do the home work of students!

NSolve[{Integrate[
PDF[NormalDistribution[0, 1], z], {z, (c - 75)/10/Sqrt[n],
Infinity}] == 5/100,
Integrate[
PDF[NormalDistribution[0, 1], z], {z, (c - 78)/10/Sqrt[n],
Infinity}] == 9/10
}, {c, n}]

??

Next time, make your home work *alone* because otherwise
you will learn nothing.

Regards
Jens

Walkman wrote:
> Hi. This is the first posting in this board(in Englsigh?). So, if
> there is any punctuation error or misunderstood, please let me know.
>
> The problem itself is in the book 428p. "Introduction to Mathematical
> Statistics 6E"
>
> In solving this problem, I've got stuck with this practical problem.
>
> To find n and c such that
>
> Integrate[f,{z,(c-75)/10/sqrt(n),inf}] = .05
> Integrate[f,{z,(c-78)/10/sqrt(n),inf}] = .9
>
> where f = N(0,1); N -> Normal Distribution of which mean = 0 and
> variance = 1
>
> How can I solve this problem in mathematica? or any math-computational
> program? (e.g. R)
>

```

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