According to a Pew poll in 2012, 58% of high school seniors admit to texting while driving. Assume that we randomly sample two seniors of driving age.
a. If a senior has texted while driving, record Y; if not, record N. List all possible sequences of Y and N.
b. For each sequence, find by hand the probability that it will occur, assuming each outcome is independent.
c. What is the probability that neither of the two randomly selected high school seniors has texted?
d. What is the probability that exactly one out of the two seniors has texted?
e. What is the probability that both have texted?