Q10) AT&T was running commercials in 1990 aimed at luring back customers who had switched to one of the other long-distance phone service providers. One such
commercial shows a businessman trying to reach Phoenix and mistakenly getting
Fiji, where a half-naked native on a beach responds incomprehensibly in
Polynesian. When asked about this advertisement, AT&T admitted that the
portrayed incident did not actually take place but added that this was an
enactment of something that "could happen." Suppose that one in 200 long-
distance telephone calls is misdirected. What is the probability that at least one in
five attempted telephone calls reaches the wrong number? (Assume
independence of attempts.)