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S3 Topic 1: Combinations of random variables
Graphing aX backmore
The graphs of two Normal distributions are shown: X~N(mean,var) in blue and Y~aX in red. Vary the value of a and see what effect this has on the red graph.

Summary
If X ~ N(m,s2) and Y ~ aX then:
  • Y ~ N(am,a2s2)
JavaMath interactive graphs Based on free Java applets from JavaMath