Answer:
Step-by-step explanation:
Hello!
You have two events.
A: The employee is bilingual.
The probability of the employee being bilingual is P(A)= 30/85= 0.35
And
B: The employee has a graduate degree.
Additionally, you know that the probability of an employee having a graduate degree given that he is bilingual is:
P(B/A)= 0.37
You need to calculate the probability of the employee being bilingual and having a graduate degree. This is the intersection between the two events, symbolically:
P(A∩B)
The events A and B are not independent, which means that the occurrence of A modifies the probability of occurrence of B.
Applying the definition of conditional probability you have that:
P(B/A)= [P(A∩B)]/P(A)
From this definition, you can clear the probability of the intersection between A and B
P(A∩B)= P(B/A)* P(A)= 0.37*0.35= 0.1295≅ 0.13
I hope it helps!
