A swarm of bees is released from a certain point. The proportion of the swarm located at
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A swarm of bees is released from a certain point. The proportion of the swarm located at least 2 m from the point of release after 1 hour is a random variable that is exponentially distributed with a = 2.
(a) Find the expected proportion under the given conditions.
(b) Find the probability that fewer than 1/3 of the bees are located at least 2 m from the release point after 1 hour.
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