Ten motors are packaged for sale in a certain warehouse. The motors sell for $600 each, but a double-your-money-back guarantee is in effect for any defectives the purchaser may receive. Find the expected net gain for the seller if the probability of any one motor being defective is 0.02. (Assume that the quality of any one motor is independent of that of the others.)

Respuesta :

Answer:

$5,760

Explanation:

When there's a defect, you return the $600 paid and you'll also double this amount.

This means that you'll lose $600 in total.

The total expected cost of 1 motor is is the sum of the product of gain and their probability

i.e.

Expected Value = $600 * (1 - 0.02) + (-$600) * 0.02

Expected Value = $600 * 0.98 - $600 * $0.02

Expected Value = $600 * ($0.98 - $0.02)

Expected Value = $600 * 0.96

Expected Value = $576

The Expected net gain on 10 motors is calculated by

10 * $576

= $5,760

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE