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A problem with solving some nonlinear system

  • To: mathgroup at smc.vnet.net
  • Subject: [mg87283] A problem with solving some nonlinear system
  • From: Walkman <uvnarae at hotmail.com>
  • Date: Sun, 6 Apr 2008 06:44:54 -0400 (EDT)

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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