Normal Distribution Interval Probability

00:00 3 marks

A continuous random variable \(X\) is normally distributed with mean \(100\) and standard deviation \(15\). Calculate the probability that \(X\) falls between \(85\) and \(115\), i.e., find \(P(85 < X < 115)\).

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Hint

Remember to convert \(X\) to the standard normal variable \(Z\) using \(Z = \frac{X – \mu}{\sigma}\).

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Normal Distribution Interval Probability

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Normal Distribution Interval Probability

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