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During the annexation of Crimea, Russian Federation naval forces placed sea mines through the Strait of...

During the annexation of Crimea, Russian Federation naval forces placed sea mines through the Strait of Kerch to avoid hostile units entering Sea of Azov. The average number of sea mines per km2 in the strait is estimated to be 3.

a) Let X be the random variable denoting the number of sea mines per km2, what is E(X)?

b) Find the probability at least 2 sea mines are found on a given km2.

c) Find the probability at least 2 sea mines are found on two of the next 3 km2 inspected.

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