A diagonalization of the matrix A is given in the form P−1AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 1 10 1 10 1 10 1 2 − 1 2 − 1 2 2 5 2 5 − 3 5 2 2 2 0 0 1 2 2 1 5 1 0 1 −1 1 4 0 −1 = 4 0 0 0 0 0 0 0 −1

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 12611261 chips and a standard deviation of 118118 chips. (a) determine the 2626th percentile for the number of chocolate chips in a bag. (b) determine the number of chocolate chips in a bag that make up the middle 9696% of bags. (c) what is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?