A 2019 Pew Research study finds that the number of undocumented immigrants living in the United States has dropped to the level it was in 2004.

A 2019 Pew Research study finds that the number of undocumented immigrants living in the United States has dropped to the level it was in 2004. While its share has declined, California still accounts for approximately 23% of the nation’s estimated 10.5 million undocumented immigrants.

a. In a sample of 50 undocumented immigrants, what is the probability that more than 20% live in California?

b. In a sample of 200 undocumented immigrants, what is the probability that more than 20% live in California?

c. Comment on the reason for the difference between the computed probabilities in parts a and b.