If the level of infection of a tree is x, then each treatment will independently be successful
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If the level of infection of a tree is x, then each treatment will independently be successful with probability 1 - x. Consider a tree whose infection level is assumed to be the value of a uniform (0, 1) random variable.
a. Find the probability that a single treatment will result in a cure.
b. Find the probability that the first two treatments are unsuccessful.
c. Find the probability it will take treatments for the tree to be cured.
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