The lengths of mass-produced components are normally distributed with mean 15cm and standard deviation 0.03cm. Each component cost Ksh8 to produce. A component shorter than 14.95cm has to be scrapped, whereas a component larger than 15.05cm can be trimmed at a further cost of Ksh3. components having lengths between these limits are satisfactory and cost the manufacturer nothing extra. Acceptable components are then sold at Ksh15. Of 1000 components made, how many of them would you expect to

(i)be scrapped

(ii)be acceptable after trimming

(iii)be immediately acceptable.

What is the expected total profit for the 1000 components sold?