Question

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

Answer 1

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

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

We find the probability distribution function as follows:

Let X denote the final temperature, then

$P(X = 266) = \frac{48}{200} =0.24\\ \\ P(X = 271) = \frac{60}{200} =0.3\\ \\ P(X = 274) = \frac{92}{200} =0.46$