#### Answer

P=0.002, z=-1.645.

#### Work Step by Step

The P is the probability of the z-score being more than 2.88 is 1 minus the probability of the z-score being less than 2.2.88, hence:P=1-0.998=0.002. The critical value is the z-score belonging to 0.05 to the right, hence z=1.645.