1. The specification for the diameter of a ball bearing is set by the buyer to be 2 ∓ 0.01 centimeters. Any ball bearing with the diameter outside this specification will be scrapped. Diameters are...

1. The specification for the diameter of a ball bearing is set by the buyer to be 2 ∓ 0.01 centimeters. Any ball bearing with the diameter outside this specification will be scrapped. Diameters are normally distributed with mean of 2 centimeters and standard deviation of 0.005 centimeters.

a)
What percentage of ball bearings will be scrapped?

b)

Find the 75th percentile of ball bearing diameters.

c) F
ind the 25th percentile of ball bearing diameters.