An experiment consists of selecting a card from a standard deck of 52 cards, noting whether or not it is a face card(Jack,Queen or King) and then returning it to the deck. The experiment is done 10 times. Let X denote the random variable representing how many times out of the 10 you observe a face card. (a)What type of random variable is X? Specify all parameters. (b)Find the probability of observing at least 2 face cards. Show all work. (c)Suppose you repeat the experiment 20280 times(instead of 10 times). Let Y denote the random variable representing the number of face cards observed. Find the probability of observing at least 4586 face cards.

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