The data shows the number of advanced degrees (in thousands) eamed in a state during a recent year by sex and type of degree. Find the following probabilities for a person selected at random who received an advanced degree. Complete parts (a)-(d).
$$\text{Unknown environment 'tabular'}$$
(a) The probability that the selected person received a master's degree during the recent year is $◻$.
(Type an integer or decimal rounded to three decimal places as needed.)
(b) The probability that the selected person is female is $◻$.
(Type an integer or decimal rounded to three decimal places as needed)
(c) The probability that the selected person is female, given that they received a master's degree during the recent year is $◻$.
(Type an integer or decimal rounded to three decimal places as needed.)
(d) The probability that the selected person received a master's degree during the recent year given that they are female is $◻$.
(Type an integer or decimal rounded to three decimal places as needed.)

Step 1 ：Calculate the total number of people who received an advanced degree. This is the sum of all the numbers in the table. $Total=26+62+4+10+7+0=109$ (in thousands)

Step 2 ：The probability that the selected person received a master's degree during the recent year is the sum of the number of males and females who received a master's degree divided by the total number of people. $P(Maste{r}^{\prime }s)=\frac{62+7}{109}=\frac{69}{109}=0.633$

Step 3 ：$\boxed{{\displaystyle 0.633}}$ is the probability that the selected person received a master's degree during the recent year.

Step 4 ：The probability that the selected person is female is the sum of the number of females who received a Bachelor's, Master's, or Doctor's degree divided by the total number of people. $P(Female)=\frac{10+7+0}{109}=\frac{17}{109}=0.156$

Step 5 ：$\boxed{{\displaystyle 0.156}}$ is the probability that the selected person is female.

Step 6 ：The probability that the selected person is female, given that they received a master's degree during the recent year is the number of females who received a master's degree divided by the total number of people who received a master's degree. $P(Female|Maste{r}^{\prime }s)=\frac{7}{69}=0.101$

Step 7 ：$\boxed{{\displaystyle 0.101}}$ is the probability that the selected person is female, given that they received a master's degree during the recent year.

Step 8 ：The probability that the selected person received a master's degree during the recent year given that they are female is the number of females who received a master's degree divided by the total number of females. $P(Maste{r}^{\prime }s|Female)=\frac{7}{17}=0.412$

Step 9 ：$\boxed{{\displaystyle 0.412}}$ is the probability that the selected person received a master's degree during the recent year given that they are female.