Given that $X \sim \mathrm{N}(123, 45^2)$, find the range of values of $k$ such that \(\mat

Question

Given that $X \sim \mathrm{N}(123, 45^2)$, find the range of values of $k$ such that $\mathrm{P}(X \le k) > 0.28$ $\mathrm{P}(X > k) > 0.777$ $\mathrm{P}(|X - 123| > k) \le 0.444$

Accepted Answer

(a) $k>96.8$ (b) $k<88.7$ (c) $k\ge34.4$

Continuous Random Variables - Solving Normal Probability Inequalities

Continuous Random Variables - Solving Normal Probability Inequalities

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