The distribution of B.A. degrees conferred by a local college is listed below, by major. $$\begin{array} { l r }
\underline { \text { Major } } & \text { Frequency } \
\text { English } & 2073 \
\text { Mathematics } & 2164 \
\text { Chemistry } & 318 \
\text { Physics } & 856 \
\text { Liberal Arts } & 1358 \
\text { Business } & 1676 \
\text { Engineering } & \frac { 868 } { 9313 }
\end{array}$$ What is the probability that a randomly selected degree is not in Physics?
A)0.092
B)0.908
C)0.966
D)0.907

Question

The distribution of B.A. degrees conferred by a local college is listed below, by major. $$\begin{array} { l r } 
\underline { \text { Major } } & \text { Frequency } \
\text { English } & 2073 \
\text { Mathematics } & 2164 \
\text { Chemistry } & 318 \
\text { Physics } & 856 \
\text { Liberal Arts } & 1358 \
\text { Business } & 1676 \
\text { Engineering } & \frac { 868 } { 9313 }
\end{array}$$ What is the probability that a randomly selected degree is not in Physics?
A)0.092
B)0.908
C)0.966
D)0.907

Quizplus · Accepted Answer

The total number of degrees is the sum of all frequencies, but the Engineering frequency is given as a fraction of the total, which is incorrect for a frequency count. Ignoring Engineering, the total is 2073 (English) + 2164 (Mathematics) + 318 (Chemistry) + 856 (Physics) + 1358 (Liberal Arts) + 1676 (Business) = 8445. The number of degrees not in Physics is 8445 - 856 = 7589. The probability is 7589 / 8445 = 0.898, which is not an option, suggesting a mistake in calculation or interpretation. Given the options, the closest correct approach is to consider the total number of degrees correctly and calculate the probability of not selecting a Physics degree, which would typically be 1 minus the probability of selecting a Physics degree. However, without the correct total including Engineering, we can't accurately calculate this. Assuming a typo in the options and the method, the closest correct logic based on provided options would be to understand the concept of calculating the probability of not selecting a specific category, which generally involves subtracting the probability of selecting that category from 1.

The Distribution of B What Is the Probability That a Randomly Selected Degree Is