A particular manufacturing design requires a shaft with a diameter of 19.000 ​mm, but shafts with diameters between 18.987 mm and 19.013 mm are acceptable. The manufacturing process yields shafts with...

A particular manufacturing design requires a shaft with a diameter of 19.000 ​mm, but shafts with diameters between 18.987 mm and 19.013 mm are acceptable. The manufacturing process yields shafts with diameters normally​ distributed, with a mean of 19.003 mm and a standard deviation of 0.004 mm.Complete parts​ (a) through​(d) below.