Curling is a sport where teams slide stones on ice and attempt to hit targets. Teams consist of four players. Suppose that Bob, Carol, Ted, and Alice are on a team. Bob and Carol have a 40% chance of slipping on the ice; Ted and Alice have a 20% chance. Each slip results in a bruise that costs $150 to treat.
If each member were offered bruise insurance, the premium would be $ (round your response to two decimal places)

Respuesta :

Answer:

Premium is likely to be $180.00

Explanation:

Two players have 40%  chance of slipping

Equally,two players have 20% chance of slipping

bruise cost per slip is $150

Premium=40% chance of slipping*bruise cost*2 players +20% chance of slipping*bruise cost*2 players

Premium=40%*$150*2+20%*$150*2

Premium=0.4*$150*2+0.2*$150*2

premium=$60*2+$30*2

premium=$120+$60

premium=$180.00

If the insurance company offers bruise insurance to the players ,the premium is likely to be in the region of $180.00

If each player were offered bruise insurance, the total premium would be $180.00.

Data and Calculations:

Cost of slip bruise treatment = $150

Probabilities of slipping:

Bob and Carol = 40%

Ted and Alice = 20%

Premium for Bob and Carol's treatment = $120 ($150 x 40% x 2)

Premium for Bob and Carol's treatment = $60 ($150 x 20% x 2)

Total insurance premium = $180 ($120 + $60)

Thus, the total insurance premium for the four players is $180.

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