A particular manufacturing design requires a shaft with a diameter of 17.000 mm, but shafts with diameters between 16.990mm and 17.010mm are acceptable. The manufacturing process yields shafts with diameters normallydistributed, with a mean of 17.004mm and a standard deviation of 0.006mm. Complete parts(a) through(d) below.

a. For thisprocess, what is the proportion of shafts with a diameter between 16.990 mm and 17.000mm?

The proportion of shafts with diameter between 16.990 mm and 17.000 mm is

(Round to four decimal places asneeded.)

b. For thisprocess, what is the probability that a shaft isacceptable?

The probability that a shaft is acceptable is

(Round to four decimal places asneeded.)

c. For thisprocess, what is the diameter that will be exceeded by only 1% of theshafts?

The diameter that will be exceeded by only 1% of the shafts is mm.

(Round to four decimal places asneeded.)

d. What would be your answers to parts(a) through(c) if the standard deviation of the shaft diameters were 0.005 mm?

If the standard deviation is 0.005 mm, the proportion of shafts with diameter between 16.990 mm and 17.000 mm is

(Round to four decimal places asneeded.)

If the standard deviation is 0.005 mm, the probability that a shaft is acceptable is

(Round to four decimal places asneeded.)

If the standard deviation is 0.005 mm, the diameter that will be exceeded by only 1% of the shafts is mm.

(Round to four decimal places asneeded.)