An industrial sewing machine uses ball bearings that are targeted to have a diameter of

0.78 inch. The lower and upper specification limits under which the ball bearings can operate are 0.77 inch and 0.79 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.784 inch and a standard deviation of 0.008 inch. Complete parts (a) through (e) below

a. What is the probability that a ball bearing is between the target and the actual mean?

enter your response here

(Round to four decimal places as needed.)

Part 2b. What is the probability that a ball bearing is between the lower specification limit and the target?

enter your response here

(Round to four decimal places as needed.)

Part 3c. What is the probability that a ball bearing is above the upper specification limit?

enter your response here

(Round to four decimal places as needed.)

Part 4d. What is the probability that a ball bearing is below the lower specification limit?

enter your response here

(Round to four decimal places as needed.)

Part 5e. Of all the ball bearings,95% of the diameters are greater than what value?