Inequalities invovling Normal Distribution II

Inequalities invovling Normal Distribution II

Given that \(X\sim N\left( a,3 \right)\). Find the range of \(k\) in terms of \(a\) for

  1. \(\mathrm{P}\left( X>k \right)<0.37\)
  2. \(\mathrm{P}\left( X\le k \right)>0.371\)

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Answer:(a) k > 0.575 + a (b) k > a - 0.570

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