Let a random variable be given by its distribution X 3 0 1 4 p .1 .1 .5 .3 Find the distribution function and draw its graph

random variable X

would that just be the histogram of the freq distribution?

in fact i think the graph is just 4 vertical lines. the distribution function is \[P(X=3)=.1,P(x=0)=.1,P(X=1)=.5,P(X=4)=.3\]

i do not understand the graph as it is written

i think that it is the histogram for the frequency distribution

\[\begin{array}c x\\--&-&--&--&--&--&--&-\\ .6&|&&&&&&|\\ .5&|&&-&&&&|\\ .4&|&&-&&&&|\\ .3&|&&-&&&-&|\\ .2&|&&-&&&-&|\\ .1&|&-&-&&-&-&|\\ --&-&--&--&--&--&--& |\\ &&0&1&2&3&4&|&P(x) \end{array}\]

ok i understand now. I thought that there was a specific equation that had to be written

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