The division of the company where you work has 85 employees. Thirty of them are bilingual, and 37% of the bilingual employees have a graduat

Question

The division of the company where you work has 85 employees. Thirty of them are bilingual, and 37% of the bilingual employees have a graduate degree. If an employee of this division is randomly selected, what is the probability that the employee is bilingual and has a graduate degree

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Madelyn 3 months 2021-10-26T18:29:57+00:00 1 Answer 0 views 0

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    2021-10-26T18:31:36+00:00

    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!

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