Defective pixels. For warranty purposes, analysts want to model the number of defects on a screen of the new tablet they are manufacturing. Let X = the number of defective pixels per screen. If X can be modeled by:

X  # of Defective Pixels 0 1 2 3 4 or more P1X  x2 0.95 0.04 0.008 0.002 0

a) What is the expected number of defective pixels per screen?

b) What is the standard deviation of the number of defective pixels per screen?

c) What is the expected number of defective pixels in the next 100 screens?

d) What is the standard deviation of the number of defective pixels in the next 100 screens?