Sunday
March 26, 2017

Post a New Question

Posted by on .

An insurer offers a health plan to the employees of a large company. As part of this plan, the individual employees may choose two of the supplementary covaerges A, B and C or they may choose no supplementary coverage. The proportions of the company's employees that choose coverage A, B and C are 1/4 ,1/3 and 5/12 respectively. Determine the probability that a randomly chosen employee will choose no supplementary coverage.

  • probability - ,

    Choices are AB, AC, BC, None


    Pr(A and B)= Pr(A)Pr(B)= 1/4*1/3= 1/12
    Pr(B and C)= Pr(B)Pr(C)= 1/3*5/12=5/36
    Pr(A and C)= 1/4 * 5/12=5/48

    Pr(None)=1- sum of the three other choices above.

  • probability - ,

    I've got a different answer from the Actuary exam guide. You need to make a Venn Diagram and make x,y, and z into the middle portions of the diagram between AB, AC, and BC. From the question you know that x+y=1/4, x+z=1/3 and y+z=5/12. Adding these equations gives
    (x+y)+(x+z)+(y+z)=1/4+1/3+5/12
    then, 2(x+y+z)=1/2
    Since you're looking for 1-(x+y+z) then 1-1/2=1/2. The probability is 1/2

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question