Symmetrical Properties Of Normal Distribution Q1

Symmetrical Properties Of Normal Distribution Q1

It is given that \(X\)~\(N(\mu ,16)\) and \(P(X<4)=P(X>k)\).

  1. Express \(k\) in terms of \(\mu\).

Given that \(P(X<6)=0.76\),

  1. find the value of \(k\).

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Answer:(i) k=2mu-4; (ii) k=2.35 (3 s.f.).

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