An experiment consists of selecting a card from a standard deck of 52 cards, noting whether or not the card is an Face Card (Jack, Queen or King) and returning the card to the deck. This experiment is repeated 10 times. Let X be the random variable representing how many times out of the 10 you observe a Face Card.
Suppose that you repeat the experiment 5070 times. Let Y be the random variable representing the number of Face Cards observed. Find the probability of observing at most 1150 Face Cards.
The solution to this problem is given by
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