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Consider 4 sequential flips of a fair coin. a. Let A be the event that 2 consecutive flips both yield heads and let B be

Consider 4 sequential flips of a fair coin.

a. Let A be the event that 2 consecutive flips both yield heads and let B be the event that the first OR last flip yields tails. Prove or disprove that events A and B are independent.

b. Let X be the random variable of how many pairs of consecutive flips (of the 4 total flips) both yield heads. What is the expected value of X?

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