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A fair coin is tossed until the first head occurs. Do this experiment T = 10;...

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Basic Math

A fair coin is tossed until the first head occurs. Do thisexperiment T = 10; 100; 1,000; 10,000 times in R, and plot therelative frequencies of this occurring at the ith toss, forsuitable values of i. Compare this plot to the pmf that shouldgovern such an experiment. Show that they converge as T increases.What is the expected number of tosses required? For each value ofT, what is the sample average of the number of tosses required?

Answer & Explanation Solved by verified expert
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A fair coin is tossed until the first head occurs Let X be thenumber of tosses required Then X Geometricp 05We will use rgeom function in R to generate the samples for T 10 100 1000 10000For T 10 run the below R code to plot the relativefrequencies and compare this plot to the pmf of Geometricdistributionx1 rgeom10 05histx1    See Answer
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