New regulations in Canada require all Internet service providers (ISPs) to send a notice to subscribers who are downloading files illegally asking...

New regulations in Canada require all Internet service providers (ISPs) to send a notice to subscribers who are downloading files illegally asking them to stop. This "notice and notice" system was already in place with Rogers Cable. That company says that prior too these new regulations, 67% of its subscribers who received a notice did not reoffend. Consider a random sample of 50 of these Rogers subscribers who received a first notice.

(a) What is the distribution of the number X of subscribers who reoffend? Explain your answer.

(b) What is the probability that at least 18 of the 50 subscribers in your sample reoffend?