Explain well please The probabilities are 0.4, 0.2, 0.3 and 0.1, respectively, that a delegate to a

Explain well please

The probabilities are 0.4, 0.2, 0.3 and 0.1, respectively, that a delegate to a certain convention arrived by air, bus, automobile, or train (a) Consider 9 randomly selected delegates at this convention. What is the probability that from these 9 delegates, 3 arrived by air, 3 arrived by bus, 1 arrived by automobile, and 2 arrived by train? (b)) Consider 12 randomly selected delegates at this convention. What is the prob- ability that from these 12 delegates, 3 arrived by air, 3 arrived by bus, 3 arrived by automobile, and 3 arrived by train? (c) Consider 9 randomly selected delegates at this convention. Suppose we are only interested in the delegates arriving by bus. What is the probability distribution of X: the number of delegates that arrived by bus? What is the probability that all 9 delegates arrived by bus? (d) What is the probability distribution of X: the number of delegates that arrive until the first one arrives by train, inclusive. What is the probability that the 10th delegate that arrives, was the first one to arrive by train?

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