Interpreting Normal Distribution Probabilities

00:00 3 marks

  • Build Confidence
  • SL & HL
  • Tier 3
  • Complement rule
  • Probability calculations
  • Normal distribution
  • Z-scores
  • Standard Normal Distribution

Suppose the heights of adult women are normally distributed with a mean of 165 cm and a standard deviation of 6 cm. Calculate the probability that a randomly selected woman is taller than 170 cm.

Hint Hint

Hint

Convert 170 cm to a z-score using \(z = \frac{x – \mu}{\sigma}\) and remember to find the probability for the correct tail.

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Complete Answer

Approximately 0.2023

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