I'm having trouble with this example in the book (I'm reviewing for an exam)... How do I go about solving it? Thanks in advance.

Let 12 eggs be given - 2 rotten, 10 good. Choose 4 randomly all at once. X = # of rotten eggs amongst the 4 chosen. Find and simplify to a fraction in lowest terms the expected value E[x].

Use the fact that X follows a Hypergeometric distribution.

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