According to the Pew Research Center American Trends Panel Survey (conducted May 30- June 30, 2014, sample size: 3042 cell users) 7% of Americans turn their cell phone off (ever).

1. If you were at a movie theater, how many people in a packed theater of 250 would you expect to have their cell phone turned off? What would be a surprisingly small or large number?

2. In a packed theater of 250, what is the probability that less than 5 have their cell phone turned off?

3. What is the probability that exactly 20 of 250 movie-goers have their cell phones turned off?