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| Question 266484:  An employee benefits consulting firm has just completed a survey of the health plans offered by employess in a particular state. among the findings are the following: 40% of employers offer no health insurance to their employess at all; 10% offer only HMO; 20% offer only a traditional reiembursement plan; 25% offer a POS plan; 10% offer both an HMO and a traditional reimbursement plan; 10% offer both a pos plan and a traditional plan; and 5% offer all three types pf plans. Moreover, of employers who offer an HMO to their employees, 60% offer another type of plan as well.
 a. What fraction of employers offer only a POS plan?
 d. What fraction of employers offer their employees a choice of health plans?
 I was bale to figure out b & c. So if you can help me with a & d that will be great.
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! An employee benefits consulting firm has just completed a survey of the health plans offered by employess in a particular state. among the findings are the following: 40% of employers offer no health insurance to their employess at all;
 10% offer only HMO;
 20% offer only a traditional reiembursement plan;
 25% offer a POS plan;
 10% offer both an HMO and a traditional reimbursement plan;
 10% offer both a pos plan and a traditional plan; and
 5% offer all three types pf plans.
 Moreover, of employers who offer an HMO to their employees, 60% offer another type of plan as well.
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 a. What fraction of employers offer only a POS plan?
 d. What fraction of employers offer their employees a choice of health plans?
 I was able to figure out b & c. So if you can help me with a & d that will be great.
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 Procedure:
 Draw three intersecting circles; label them HMO, Pos, and Trad
 Since 5% offer all three, put a 5 in the intersection of the three circles.
 Since 10% offer a Pos and a Trad, put a 5 in the part of Pos/Trad that is
 not in Pos/Trad/Hmo
 Since HMO/Trad has 10%, put a 5 in the part of HMO/Trad that is not in
 Pos/Trad/Hmo
 Since P = 25%, put a 15 in the area of Pos that is not in an intersection.
 Continue till you have satisfied each of the stated requirements.
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 Then answer a,b,c,d based on your figures.
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 Cheers,
 Stan H.
 
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