Symmetrical Properties Of Normal Distribution Q2

Symmetrical Properties Of Normal Distribution Q2

It is given that \(X\)~\(N(\mu ,8)\) and \(P(X < k)=P(X>1)\).

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

Given that \(P(X < 1.5)=0.432\),

find the value of \(k\).

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Answer:(i) \(k=2\mu-1\) (ii) \(k=2.97\)

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