Suppose that when a 70 earthquake hits it will destroy each

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Suppose that when a 7.0 earthquake hits, it will destroy each highway independently with probability p = 0:3. A town becomes isolated if it loses connections to all the other towns. Let X denote the number of isolated towns when a 7.0 earthquake hits. For instance, in the example on the right, town 3 becomes isolated, but not the other 4 towns, so X = 1.

(a) What are the possible values of X?

(b) What is the probability that X assumes its largest possible value?

Reference no: EM13601936

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