Answer
a. $p=0.71$
b. P(doctorate or woman)=$0.59$
c. P doctorate and woman)=$0.0114$
d. P(not a master)=$0.73$,
Work Step by Step
The total degrees awarded is 1907172
a. A bachelor’s degree
Total bachelor’s degree awarded: 1348503. The probability is $p=1348503/1907172=0.71$
b. A doctorate or a degree awarded to a woman
P(doctorate)=$46024/1907172=0.024$, P(woman)=$1098371/1907172=0.576$,
P( doctorate and woman)=$21683/1907172=0.0114$
P( doctorate or woman)=P(doctorate)+P(woman)-P( doctorate and woman)=$0.024+0.576-0.0114=0.59$
c. A doctorate awarded to a woman
P( doctorate and woman)=$21683/1907172=0.0114$
d. Not a master’s degree
P(master)=$512645/1907172=0.27$, P(not a master)=1-0.27=0.73$,
