Gender
the Physical Science Degrees Conferred by a School Between

Gender
The physical science degrees conferred by a school between 1992 and 1995 were broken down as follows: $$\begin{array}{l}\quad \quad \quad \quad \quad \quad \quad \quad \text { Gender }\\\begin{array} { | l | c c | c | } \hline \text { Major } & \text { Male } & \text { Female } & \text { Total } \\\hline \text { Physics } & 25 & 25 & 50 \\\text { Chemistry } & 60 & 40 & 100 \\\text { Geology } & 30 & 20 & 50 \\\hline \text { Total } & 115 & 85 & 200 \\\hline\end{array}\end{array}$$ Suppose a person is selected at random from these graduates.Consider the following events:
M: The person is a male.
F: The person is a female.
P: The person graduated in physics.
C: The person graduated in chemistry.
G: The person graduated in geology.
-A firm produces three qualities of bed linens -- good,better,best.Production is scheduled to result in 50% good,35% better,and 15% best.A quality control person checks the finished product and classified them as acceptable or imperfect.The percentages acceptable are good,92%; better,88%; best,82%.Find the posterior probability that a sheet,which is "acceptable",will be acceptable.