1)Determine the area under the curve for each of the following.Graphically and/or mathematically justify your answer (4 points each):

a)Area under the normal curve for Z values greater than -2.45.

b)Area under the normal curve for Z values greater than 1.23.

2)The output for a normally distributed process results in an average size 1.0038 inches with a standard deviation of

0.0023 inches.If the customer specifications are 1.000 0.010 inches, are there defective products being made?If defective parts are being made then determine the percent defective.Mathematical analysis required for credit.(10 points)