Obtaining unknown mean and variance using standardization
Obtaining unknown mean and variance using standardization
IB Year 6 | Grade 12
Given \(X \sim N(\mu, \sigma^2)\), find \(\mu\) and \(\sigma^2\) if \(P(X < 38.14) = 0.38\) and \(P(X > 49.87) = 0.05\).
Solution:
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Answer:\(\mu\approx40.0,\quad\sigma^2\approx36.2\) (3 s.f.).
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