Symmetrical Properties Of Normal Distribution Q3

Symmetrical Properties Of Normal Distribution Q3

It is given that \(X\sim N(\mu ,35)\) and \(P(X<k)=P(X>7)\).

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

Given that \(P(X<5.4)=0.644\),

find the value of \(k\).

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Answer:(i) \(k=2\mu-7\) (ii) \(k=-0.568\) (3 s.f.)

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