According to the latest US Forest survey, 42% of the state is forested.

a) Suppose this estimate is correct. If you randomly select 20 pixels from a map of the state, how many would you expect to be forested?

b) Suppose you randomly select 10 pixels and 7 are forested. What is the probability of this result if the estimate is correct?

c) What is the probability of observing 7 or more forested pixels in a random sample of 10 if the estimate is correct?

Again, thanks to anyone who can help me understand this kind of concept.