Linear Combinations, Probability Modeling, and Parameter Estimation in Normal Distributions

Linear Combinations, Probability Modeling, and Parameter Estimation in Normal Distributions

The duration of direct flights from London to Singapore in a particular year followed a normal distribution with mean \(\mu\) and standard deviation \(\sigma\).

\(92\)% of flights took under \(13\) hours, while only \(12\)% of flights took under \(12\) hours \(35\) minutes.

Find \(\mu\) and \(\sigma\) in hours.

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Answer:\(\mu=12.8\text{ h}\), \(\sigma=0.161\text{ h}\)

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