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3. Draw a card from a standard deck of cards. The random variable Y gives the number on the card or gives a 0 if

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3. Draw a card from a standard deck of cards. The random variable Y gives the number on the card or gives a 0 if the card is a face card. a. Construct the probability distribution for all the possible values of Y. b. Compute the mean of the distribution and interpret the value in its context. c. Compute the variance and standard deviation. 4. A player draws a card at random from a standard deck of 52 cards. If the card drawn Is red, the player wins P1 000 but if it is black, he loses the same amount. Find the expected value of the game

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