Borrowing owls sometimes build their nests in holes that were dug by prairie dogs, coyotes, or badgers and have been since abandoned. They sometimes

Borrowing owls sometimes build their nests in holes that were dug by prairie dogs, coyotes, or badgers and have been since abandoned. They sometimes line the nests with cattle or horse dung. Why? Perhaps it insulates the nest from temperature extremes. A possibility suggested by biologist Dennis Martin is that the owls use the dung to keep predators away. To test this theory, biologist Gregory Green observed lined and unlined owl nests in the Columbia River basin. He recorded whether the nest was raided or not in both samples.  For now consider only the lined nests. Green identified n=25 nests lined with dung and observed that only 2 were raided. 

(a) If the probability that a next is raided is 0.6, is Green's finding something that would  have much chance of happening? What would be that chance?

Explain and show work.  Also, provide the R code that you would use to find that chance using R. 

(b) What should Green do to get a more accurate picture of how often lining the nest with dung prevents raiding by predators? Explain and justify your answer with some of the concepts learned this quarter in Stat 100A.