Given:
Total number of applicants = 479
Number who have over 10 years experience = 249
Number who have over 10 years experience and a graduate degree = 62
Let's find the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years experience.
To find the probability, we have:
[tex]P=\frac{P(graduate\text{ and 10 years experience\rparen}}{P(10\text{ years experience\rparen}}[/tex]Where:
[tex]\begin{gathered} P(graduate\text{ and 10 years experience\rparen = }\frac{62}{479} \\ \\ \\ P(0ver\text{ 10 years experience\rparen = }\frac{249}{479} \end{gathered}[/tex]Thus, we have:
[tex]\begin{gathered} P=\frac{\frac{62}{479}}{\frac{249}{279}} \\ \\ P=\frac{62}{479}*\frac{479}{249} \\ \\ P=\frac{62}{249} \\ \\ P=0.2490 \end{gathered}[/tex]Therefore, the probability is 0.2490
ANSWER:
0.2490
