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Two people combine to meet in a certain place between 12.00 h and 13.00 h. They...

Two people combine to meet in a certain place between 12.00 h and 13.00 h. They also combine that each one will wait “a” hours, 0 <a <1, for the arrival of the other. Assuming that the arrivals of the two people are independent and unifomly distributed (in the interval of 12h00 to 13h00), find:
(a) the probability that they will actually meet,
(b) the value of “a” so that they may meet at a probability of 0,84.
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