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STAT 14_4: Dror collects "Supercell" cards. So far he has collected 15 cards, 10 of them...

STAT 14_4:

Dror collects "Supercell" cards. So far he has collected 15 cards, 10 of them ordinary and 5 special. To increase his collection he decided to randomly select 3 cards and exchange them with his friends. For a regular card he gets one card and for a special card he gets 3 cards

Defines an X case variable that counts the number of special cards selected.

a. Find the probability function of X.
b. Consider the span and variance of X
c. Find the span and variance of the number of cards that will be spared from swapping the three cards. Rely on your calculations from Section b only!

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