exercise:531abde51b: Difference between revisions
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(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> Find the generating functions, both ordinary <math>h(z)</math> and moment <math>g(t)</math>, for the following discrete probability distributions. <ul><li> The distribution describing a fair coin. </li> <li> The distribution describing a fair die....") |
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Find the generating functions, both ordinary <math>h(z)</math> and moment <math>g(t)</math>, for the following discrete probability distributions. | |||
<ul style="list-style-type:lower-alpha"><li> The distribution describing a fair coin. | |||
and moment <math>g(t)</math>, for the following discrete probability distributions. | |||
<ul><li> The distribution describing a fair coin. | |||
</li> | </li> | ||
<li> The distribution describing a fair die. | <li> The distribution describing a fair die. | ||
Latest revision as of 00:39, 15 June 2024
Find the generating functions, both ordinary [math]h(z)[/math] and moment [math]g(t)[/math], for the following discrete probability distributions.
- The distribution describing a fair coin.
- The distribution describing a fair die.
- The distribution describing a die that always comes up 3.
- The uniform distribution on the set [math]\{n,n+1,n+2,\ldots,n+k\}[/math].
- The binomial distribution on [math]\{n,n+1,n+2,\ldots,n+k\}[/math].
- The geometric distribution on [math]\{0,1,2,\ldots,\}[/math] with [math]p(j) = 2/3^{j + 1}[/math].