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

be scrapped

be acceptable after trimming

be immediately acceptable.

What is the expected total profit for the 1000 components sold?(8marks)