In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.

Graduate Science Students. According to Survey of Graduate Science Engineering Students and Postdoctorates, published by the U.S. National Science Foundation, the distribution of graduate science students in doctorate-granting institutions is as follows.

Frequencies are in thousands. Note: Earth sciences include atmospheric and ocean sciences as well.

A graduate science student who is attending a doctorate-granting institution is selected at random. Determine the probability that the field of the student obtained is

(a) psychology.

(b) physical or social science.

(c) not computer science.

The given statement is:

According to the Survey of Graduate Science Engineering Students and Postdoctorates, published by the U.S. National Science Foundation, the distribution of graduate science students in doctorate-granting institutions is as follows.

Frequencies are in the thousands.

The total number of instances where the selected student is from physical or social science:

$45.6+97.2=135.9\mathrm{thousand}$

Now Let's take the occurrence 'E' as the selected is from physical or social science.

The probability that the selected student is from physical or social science:

$$\begin{gathered} P\left(E\right)=\frac{135.9}{349.3} \\ =0.389 \end{gathered}$$

The total number of instances where the selected student is not from computer science.

$$\begin{gathered} \mathrm{Total}\mathrm{students}-\mathrm{students}\mathrm{from}\mathrm{computer}\mathrm{science} \\ =349.3-46.1 \\ =303.2 \end{gathered}$$

Now Let's take the occurrence 'E' as the selected student is not from computer science.

The probability that the selected student is not from computer science:

$$\begin{gathered} P\left(E\right)=\frac{303.2}{349.3} \\ =0.868 \end{gathered}$$