Problem 1 Let X - N(u,0²) be a normally distributed random variable, and let c #0 be a constant. Show that cX is normally distributed, and find the corresponding location and dispersion parameters.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1
Let X - N(u,0²) be a normally distributed random variable, and let
c #0 be a constant. Show that cX is normally distributed, and find the corresponding location
and dispersion parameters.
Transcribed Image Text:Problem 1 Let X - N(u,0²) be a normally distributed random variable, and let c #0 be a constant. Show that cX is normally distributed, and find the corresponding location and dispersion parameters.
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