Math  /  Probability

QuestionFind the number of employees in the Venn diagram for Events A (health insurance) and B (retirement plan) with P(AB)=2528P(A|B) = \frac{25}{28}, 35 with A, and 28 with B.

Studdy Solution
Calculate the number of employees who only participate in a retirement savings plan.
NumberofemployeesinBonly=2825=3Number\, of\, employees\, in\, B\, only =28 -25 =3So, the Venn diagram would be filled as follows-10 employees only receive health insurance benefits (Event A only) -3 employees only participate in a retirement savings plan (Event B only) -25 employees both receive health insurance benefits and participate in a retirement savings plan (Both Event A and B)

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