if a scanner fails within the warrenty period of $35$ months, it will be replaced with a new scanner at no charge. based on the warrenty period, the company estimates a replacement rate of $10\mathrm{.}6\%.$ if $1,000$ units of this product are produced and sold, what is the expected total cost of replacing the scanners that do not last beyond the warrenty period? assume that the cost of replacement per scanner is $$1000.$