please show work :) TY A battery manufacturer warrants its automobile batteries to perform...

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please show work :) TY

A battery manufacturer warrants its automobile batteries to perform satisfactorily for as long as the owner keeps the car. Auto industry data show that only 20% of car buyers retain their cars for 3 years or more. Historical data suggests: # Years Owned Probability of Battery Failure Battery Exchange Costs % Failed Batteries Returned Less than 3 3 or more 0.2 0.6 $50 $20 75% 50% If 50,000 batteries were sold this year, what is the estimated warranty cost

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