Math Solutions

[See Solution] The following three temperature readings were taken at 7 a.m., 1 p.m. and 7 p.m. on a certain day.

Question: The following three temperature readings were taken at 7 a.m., 1 p.m. and 7 p.m. on a certain day.

\[\begin{array}{*{35}{l}} {} & T(7\text{ a}\text{.m}\text{. })={{75}^{{}^\circ }}F \\ {} & T(1\text{ p}\text{.m}\text{. })={{72}^{o}}F \\ {} & T(7\text{ p}\text{.m}\text{. })={{62}^{{}^\circ }}F \\ \end{array}\]

We suspect that the temperature is described by an exponential random variable. Draw the probability plot. You can take the probability density function of the standard exponential distribution to be

\[f_{X}(x)=e^{-x}\]

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