2.3-9. A warranty is written on a product worth $10,000 so that the buyer is given $8000 if it fails in the first year, $6000 if it fails in the second, $4000 if it fails in the third, $2000 if it fails in the fourth, and zero after that. The prob- ability of the product's failing in a year is 0.1; failures are independent of those of other years. What is the expected value of the warranty?

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2.3-9. A warranty is written on a product worth $10,000
so that the buyer is given $8000 if it fails in the first year,
$6000 if it fails in the second, $4000 if it fails in the third,
$2000 if it fails in the fourth, and zero after that. The prob-
ability of the product's failing in a year is 0.1; failures are
independent of those of other years. What is the expected
value of the warranty?
Transcribed Image Text:2.3-9. A warranty is written on a product worth $10,000 so that the buyer is given $8000 if it fails in the first year, $6000 if it fails in the second, $4000 if it fails in the third, $2000 if it fails in the fourth, and zero after that. The prob- ability of the product's failing in a year is 0.1; failures are independent of those of other years. What is the expected value of the warranty?
2.3-9 $1809.80.
Transcribed Image Text:2.3-9 $1809.80.
Expert Solution
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Answer:- Given , A warranty is written on a product worth $10,000 so that the buyer is given

 $8000 if it fails in the first year.

$6000 if it fails in the second.

$4000 if it fails in the third,

$2000 if it fails in the fourth, and zero after that.

The probability of the product's failing in a year is 0.1; failures are independent of those of other years.

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