A safety engineer feels that 30% of all industrial accidents…

A safety engineer feels that 30% of all industrial accidents in her plant are caused by failure of employees to follow instructions. If this figure is correct, find approximately, the probability that among 84 industrialized accidents in this plant anywhere from 20 to 30 (inclusive) will be due to failure of employees to follow instructions. Use the normal distribution approximation. (10 points)

A stamping machine produces can tops whose diameters are nor…

A stamping machine produces can tops whose diameters are normally distributed with a standard deviation of 0.01 inch. At what “normal” (mean) diameter should the machine be set so that no more than 5% of the can tops produced have diameters exceeding 3 inches? (10 points)