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30. There are n 3 large cities in a country: M, M2, Ms, ..., M3 A businessman travels between these cities. Each morning, he randomly chooses a city that he is going to travel to on that day; in particular, he may also remain in the city where he is on a given morning. Each choice has the same probability, choices on different days are independent. On the first day, the businessman arrives by plane from abroad to a randomly chosen city (again, each city has the same probability) Using the Central Limit Theorem, approximate the probability that during 100 subsequent days, the total number of days spent in cities Mi and M2 will be larger than the total number of days spent in city My by at least m. The answer should be provided as Ф where Ф is the CDF of the standard normal distribution. Next, the value of the CDF should be obtained from distribution tables. Both tand the value of the CDF should be provided as numbers in decimal form, rounded to 4 digits. ANSWER:
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