Using Calculator for Normal Probabilities

00:00 2 marks

  • Build Confidence
  • SL
  • Tier 2
  • Probability calculation
  • Normal distribution
  • Calculator Usage

Given a normally distributed random variable \(X\) with mean \(\mu = 50\) and standard deviation \(\sigma = 5\), use a graphing calculator function to compute \(P(X < 45)\). In your answer, describe the steps you would follow using the normalcdf function.

Hint Hint

Hint

When using normalcdf(lower bound, upper bound, mean, standard deviation), remember to use a very small number like -1E99 for the lower bound to represent negative infinity for probabilities of the form \(P(X < a)\).

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Complete Answer

Approximately 0.1587

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