Revision as of 03:17, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A fair coin is tossed three times. Let <math>X</math> be the number of heads that turn up on the first two tosses and <math>Y</math> the number of heads that turn up on the third toss. Give the distribution of <ul><li> the random variables <math...")
BBy Bot
Jun 09'24
Exercise
[math]
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A fair coin is tossed three times. Let [math]X[/math] be the number of heads that
turn up on the first two tosses and [math]Y[/math] the number of heads that turn up on the third toss. Give the distribution of
- the random variables [math]X[/math] and [math]Y[/math].
- the random variable [math]Z = X + Y[/math].
- the random variable [math]W = X - Y[/math].