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Exercise 4. Suppose that a Bernoulli-type experiment is carried out as many times as necessary
until it is successful for the first time. If the probability of success is a random variable with a
uniform distribution in the interval (0,1), what is the probability that 5 repetitions of the
experiment are necessary?

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  • 1. Exercise 4. Suppose that a Bernoulli-type experiment is carried out as many times as necessary until it is successful for the first time. If the probability of success is a random variable with a uniform distribution in the interval (0,1), what is the probability that 5 repetitions of the experiment are necessary?