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You have two decks of 26 cards each. Each card in each of the two decks has a different letter of the alphabet on it.

You have two decks of 26 cards each. Each card in each of the two decks has a different letter of the alphabet on it. You pick at random one card from each of the two decks. The value of each card is defined as 3 points, if the letter on it is a vowel, or 1 point if the letter is a consonant. Let X = the sum of the values of the two cards picked. a. Find the distribution of X b. Find the expected value of X in two ways: The first, by directly using the definition of the expected value of a random variable. The second, by expressing X as a sum of two random variables

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