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The data from 200 endothermic reactions involving sodium bicarbonate are summarized as follows: calculate the probability mass function of final temperature

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Given the table below which contains data from 200 endothemic reactions involving sodium bicarbonate:


\begin{tabular} c Final Temperature Conditions&Number of Reactions\\[1ex] 266 K&48\\ 271 K&60\\ 274 K&92 \end{tabular}

We find the probability distribution function as follows:

Let X denote the final temperature, then


P(X = 266) = (48)/(200) =0.24\\ \\ P(X = 271) = (60)/(200) =0.3\\ \\ P(X = 274) = (92)/(200) =0.46

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