The Production Department Has Installed a New Spray Machine to Paint

The production department has installed a new spray machine to paint automobile doors. As is
Common with most spray guns, unsightly blemishes often appear because of improper mixture or
Other problems. A worker counted the number of blemishes on each door. Most doors had no
Blemishes; a few had one; a very few had two, and so on. The average number was 0.5 per door.
The distribution of blemishes followed the Poisson distribution. Out of 10,000 doors painted, about
How many would have no blemishes?

A) About 6,065
B) About 3,935
C) About 5,000
D) About 500