A super-commuter is a person who commutes to work from one large metro area to another by car, rail, bus, or even air. Super-commuters are not necessarily elite business travelers, but rather middle-income individuals who are willing to commute long distances in order to secure affordable housing or better schools. According to a recent study, 13% of workers in Houston are super-commuters, 8.6% in Phoenix, and 7.5% in Atlanta.50 Suppose three workers are selected at random, one from each city.
a. What is the probability that all three are super-commuters?
b. What is the probability that none of the three are supercommuters?
c. What is the probability that only the worker from Houston is a super-commuter?
d. What is the probability that exactly two of the workers are super-commuters?